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%% 211 publications (26-04-2024)
%% Publications de Jean Dolbeault
%% BibTeX file
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@techreport{2401, Author = {{Jean Dolbeault, Maria J. Esteban, Alessio Figalli, Rupert L. Frank, and Michael Loss}}, Institution = {Preprint Ceremade no. 2401}, Year = {2024}, Title = {{A short review on improvements and stability for some interpolation inequalities}}}
@techreport{2304, Author = {{Emeric Bouin, Jean Dolbeault, and Luca Ziviani}}, Institution = {Preprint Ceremade no. 2304}, Year = {2023}, Title = {{L2 Hypocoercivity methods for kinetic Fokker-Planck equations with factorised Gibbs states}}}
@techreport{2303, Author = {{Giovanni Brigati, Jean Dolbeault and Nikita Simonov}}, Institution = {Preprint Ceremade no. 2303}, Year = {2023}, Title = {{Stability for the logarithmic Sobolev inequality}}}
@article{CRMATH_2024__362_G1_21_0,
author = {Giovanni Brigati and Jean Dolbeault and Nikita Simonov},
date-added = {2024-03-06 14:55:14 -0300},
date-modified = {2024-03-06 14:55:14 -0300},
doi = {10.5802/crmath.488},
journal = {Comptes Rendus. Math\'ematique},
language = {en},
pages = {21--44},
publisher = {Acad\'emie des sciences, Paris},
title = {On {Gaussian} interpolation inequalities},
volume = {362},
year = {2024},
bdsk-url-1 = {https://doi.org/10.5802/crmath.488}}
@techreport{2301, Author = {{Jean Dolbeault, Marta García-Huidobro and Raúl Manásevich}}, Institution = {Preprint Ceremade no. 2301}, Year = {2023}, Title = {{Monotonicity of the period and positive periodic solutions of a quasilinear equation}}}
@article{Brigati_2023,
author = {Brigati, Giovanni and Dolbeault, Jean and Simonov, Nikita},
date-added = {2023-12-03 07:36:59 +0100},
date-modified = {2023-12-03 08:41:52 +0100},
doi = {10.4171/aihpc/106},
issn = {1873-1430},
journal = {Annales de l'Institut Henri Poincar{\'e} C, Analyse non lin{\'e}aire},
month = nov,
number = {doi: 10.4171/aihpc/106},
pages = {1--33},
publisher = {European Mathematical Society - EMS - Publishing House GmbH},
title = {Logarithmic {S}obolev and interpolation inequalities on the sphere: Constructive stability results},
url = {http://dx.doi.org/10.4171/AIHPC/106},
year = {2023},
bdsk-url-1 = {http://dx.doi.org/10.4171/AIHPC/106}}
@techreport{2209, Author = {{Esther Bou Dagher and Jean Dolbeault}}, Institution = {Preprint Ceremade no. 2209}, Year = {2022}, Title = {{Interpolation inequalities on the sphere: rigidity, branches of solutions, and symmetry breaking}}}
@techreport{2208, Author = {{Jean Dolbeault and Andres Zuniga}}, Institution = {Preprint Ceremade no. 2208}, Year = {2022}, Title = {{Symmetry breaking and weighted Euclidean logarithmic Sobolev inequalities}}}
@article{Dolbeault_2023,
author = {Jean Dolbeault and David Gontier and Fabio Pizzichillo and Hanne Van Den Bosch},
date-added = {2023-10-06 19:21:40 +0200},
date-modified = {2023-10-06 19:22:26 +0200},
doi = {10.4171/rmi/1443},
journal = {Revista Matem{\'{a}}tica Iberoamericana},
month = {sep},
publisher = {European Mathematical Society - {EMS} - Publishing House {GmbH}},
title = {{Keller and Lieb-Thirring estimates of the eigenvalues in the gap of Dirac operators}},
url = {https://doi.org/10.4171%2Frmi%2F1443},
year = 2023,
bdsk-url-1 = {https://doi.org/10.4171/RMI/1443}}
@techreport{2206, Author = {{Jean Dolbeault, Maria J. Esteban, Alessio Figalli, Rupert L. Frank, and Michael Loss}}, Institution = {Preprint Ceremade no. 2206}, Year = {2022}, Title = {{Sharp stability for Sobolev and log-Sobolev inequalities, with optimal dimensional dependence}}}
@article{Dolbeault-Esteban-Sere_2023,
author = {Jean Dolbeault and Maria Esteban and {\'{E}}ric S{\'{e}}r{\'{e}}},
date-added = {2023-10-08 23:38:31 +0200},
date-modified = {2023-10-08 23:38:31 +0200},
doi = {10.4171/jst/461},
journal = {Journal of Spectral Theory},
month = {sep},
number = {2},
pages = {491--524},
publisher = {European Mathematical Society - {EMS} - Publishing House {GmbH}},
title = {Distinguished self-adjoint extension and eigenvalues of operators with gaps. {A}pplication to {D}irac{\textendash}{C}oulomb operators},
url = {https://doi.org/10.4171%2Fjst%2F461},
volume = {13},
year = 2023,
bdsk-url-1 = {https://doi.org/10.4171%2Fjst%2F461},
bdsk-url-2 = {https://doi.org/10.4171/jst/461}}
@article{Dolbeault2023109651,
abstract = {In this corrigendum, we address some closability issues that were ignored in [1].},
author = {Dolbeault, Jean and Esteban, Maria J. and S{\'e}r{\'e}, Eric},
date-modified = {2022-10-21 14:01:02 +0200},
doi = {https://doi.org/10.1016/j.jfa.2022.109651},
issn = {0022-1236},
journal = {Journal of Functional Analysis},
keywords = {Self-adjoint operators, Dirac operators, Min-max principle, Eigenvalues},
number = {1},
pages = {109651},
title = {Corrigendum to: ``{O}n the eigenvalues of operators with gaps. {A}pplication to {D}irac operators'' {[J. Funct. Anal. 174 (1) (2000) 208--226]}},
url = {https://www.sciencedirect.com/science/article/pii/S0022123622002713},
volume = {284},
year = {2023},
bdsk-url-1 = {https://www.sciencedirect.com/science/article/pii/S0022123622002713},
bdsk-url-2 = {https://doi.org/10.1016/j.jfa.2022.109651}}
@article{BDNS2023,
author = {Bonforte, Matteo and Dolbeault, Jean and Nazaret, Bruno and Simonov, Nikita},
date-added = {2023-02-08 19:33:35 +0100},
date-modified = {2023-02-08 19:34:55 +0100},
doi = {10.3934/dcds.2022093},
journal = {Discrete and Continuous Dynamical Systems},
number = {3{\&}4},
pages = {1070--1089},
publisher = {American Institute of Mathematical Sciences ({AIMS})},
title = {Constructive stability results in interpolation inequalities and explicit improvements of decay rates of fast diffusion equations},
url = {https://doi.org/10.3934/dcds.2022093},
volume = {43},
year = 2023,
bdsk-url-1 = {https://doi.org/10.3934/dcds.2022093}}
@article{Dolbeault-Zhang2023,
author = {Dolbeault, Jean and Zhang, An},
date-added = {2023-02-08 19:27:58 +0100},
date-modified = {2023-02-08 19:29:30 +0100},
doi = {10.3934/dcds.2022080},
journal = {Discrete and Continuous Dynamical Systems},
number = {3{\&}4},
pages = {1347--1365},
publisher = {American Institute of Mathematical Sciences ({AIMS})},
title = {Parabolic methods for ultraspherical interpolation inequalities},
url = {https://doi.org/10.3934/dcds.2022080},
volume = {43 },
year = 2023,
bdsk-url-1 = {https://doi.org/10.3934/dcds.2022080}}
@incollection{Esteban_2022,
author = {Dolbeault, Jean and Esteban, Maria J.},
booktitle = {The Physics and Mathematics of Elliott Lieb},
date-added = {2022-08-05 20:39:41 +0200},
date-modified = {2022-08-05 20:42:27 +0200},
doi = {10.4171/90-1/11},
month = {jun},
pages = {247--268},
publisher = {{EMS} Press},
title = {{Hardy-Littlewood-Sobolev} and related inequalities: Stability},
url = {https://doi.org/10.4171%2F90-1%2F11},
year = 2022,
bdsk-url-1 = {https://doi.org/10.4171%2F90-1%2F11},
bdsk-url-2 = {https://doi.org/10.4171/90-1/11}}
@article{Dolbeault:2021wb,
abstract = {Interpolation inequalities play an essential role in analysis with fundamental consequences in mathematical physics, nonlinear partial differential equations (PDEs), Markov processes, etc., and have a wide range of applications in various other areas of Science. Research interests have evolved over the years: while mathematicians were originally focussed on abstract properties (for instance appropriate notions of functional spaces for the existence of weak solutions in PDEs), more qualitative questions (for instance, bifurcation diagrams, multiplicity of the solutions in PDEs and their qualitative behaviour) progressively emerged. The use of entropy methods in nonlinear PDEs is a typical example: in some cases, the optimal constant in the inequality can be interpreted as an optimal rate of decay of an entropy for an associated evolution equation. Much more has been learned by adopting this point of view. This paper aims at illustrating some of these recent aspect of entropy-entropy production inequalities, with applications to stability in Gagliardo--Nirenberg--Sobolev inequalities and symmetry results in Caffarelli--Kohn--Nirenberg inequalities. Entropy methods provide a framework which relates nonlinear regimes with their linearized counterparts. This framework allows to prove optimality results, symmetry results and stability estimates. Some emphasis will be put on the hidden structure which explain such properties. Related open problems will be listed.},
author = {Dolbeault, Jean},
date = {2021/12/01},
date-added = {2021-12-27 21:39:00 +0100},
date-modified = {2021-12-27 21:39:00 +0100},
doi = {10.1007/s00032-021-00341-y},
id = {Dolbeault2021},
isbn = {1424-9294},
journal = {Milan Journal of Mathematics},
number = {2},
pages = {355--386},
title = {Functional Inequalities: Nonlinear Flows and Entropy Methods as a Tool for Obtaining Sharp and Constructive Results},
url = {https://doi.org/10.1007/s00032-021-00341-y},
volume = {89},
year = {2021},
bdsk-url-1 = {https://doi.org/10.1007/s00032-021-00341-y}}
@article{Dolbeault_2022,
author = {Jean Dolbeault and Rupert L. Frank and Louis Jeanjean},
date-added = {2022-01-19 10:49:23 +0100},
date-modified = {2022-01-19 10:49:57 +0100},
doi = {10.5802/crmath.272},
journal = {Comptes Rendus. Math{\'{e}}matique},
month = {jan},
number = {10},
pages = {1279--1293},
publisher = {Cellule {MathDoc}/{CEDRAM}},
title = {Logarithmic estimates for mean-field models in dimension two and the {S}chr{\"o}dinger{\textendash}{P}oisson system},
url = {https://doi.org/10.5802%2Fcrmath.272},
volume = {359},
year = 2022,
bdsk-url-1 = {https://doi.org/10.5802%2Fcrmath.272},
bdsk-url-2 = {https://doi.org/10.5802/crmath.272}}
@techreport{2104, Author = {{Kleber Carrapatoso, Jean Dolbeault, Frédéric Hérau, Stéphane Mischler, Clément Mouhot, and Christian Schmeiser}}, Institution = {Preprint Ceremade no. 2104}, Year = {2021}, Title = {{Special macroscopic modes and hypocoercivity}}}
@techreport{2103, Author = {{Matteo Bonforte, Jean Dolbeault, Bruno Nazaret, Nikita Simonov}}, Institution = {Preprint Ceremade no. 2103}, Year = {2021}, Title = {{Stability in Gagliardo-Nirenberg-Sobolev inequalities: Flows, regularity and the entropy method}}}
@inproceedings{Dolbeault2021OWR,
author = {Dolbeault, Jean},
booktitle = {Applications of Optimal Transportation in the Natural Sciences, Oberwolfach Reports},
date-added = {2024-02-12 09:36:37 +0100},
date-modified = {2024-02-12 09:43:13 +0100},
doi = {10.4171/owr/2021/10},
number = {1},
pages = {570 - 574},
publisher = {European Mathematical Society - EMS - Publishing House GmbH},
title = {Stability in {G}agliardo-{N}irenberg-{S}obolev inequalities},
volume = {18},
year = {2022}}
@inproceedings{2101,
author = {Dolbeault, Jean},
booktitle = {Classical and Quantum Mechanical Models of Many-Particle Systems. Oberwolfach reports},
date-added = {2021-02-26 11:46:08 +0100},
date-modified = {2021-02-26 11:48:25 +0100},
doi = {10.4171/owr/2016/34},
editor = {Carlen, Eric and Fellner, Klemens and Gallagher, Isabelle and Jabin, Pierre-Emmanuel},
journal = {Oberwolfach Reports},
pages = {37-40},
publisher = {European Mathematical Publishing House},
title = {{$\mathrm L^2$} hypocoercivity, inequalities and applications},
url = {https://doi.org/10.4171/owr/2020/38},
volume = {2020/38},
year = {2020},
Bdsk-Url-1 = {https://doi.org/10.4171/owr/2020/38}}
@incollection{Arnold2021,
author = {Anton Arnold and Jean Dolbeault and Christian Schmeiser and Tobias W{\"o}hrer},
booktitle = {Recent Advances in Kinetic Equations and Applications},
date-added = {2022-01-08 17:24:23 +0100},
date-modified = {2022-01-08 17:27:13 +0100},
doi = {10.1007/978-3-030-82946-9_1},
editor = {Francesco Salvarani},
pages = {1--50},
publisher = {Springer International Publishing, INdAM Series 48},
title = {Sharpening of Decay Rates in {F}ourier Based Hypocoercivity Methods},
url = {https://doi.org/10.1007%2F978-3-030-82946-9_1},
year = 2021,
bdsk-url-1 = {https://doi.org/10.1007%2F978-3-030-82946-9_1},
bdsk-url-2 = {https://doi.org/10.1007/978-3-030-82946-9_1}}
@article{Carrapatoso_2022,
author = {Kleber Carrapatoso and Jean Dolbeault and Fr{\'{e}}d{\'{e}}ric H{\'{e}}rau and St{\'{e}}phane Mischler and Cl{\'{e}}ment Mouhot},
date-added = {2022-02-16 22:35:44 +0100},
date-modified = {2022-02-16 22:36:28 +0100},
doi = {10.1007/s00205-021-01741-5},
journal = {Archive for Rational Mechanics and Analysis},
month = {jan},
number = {3},
pages = {1565--1596},
publisher = {Springer Science and Business Media {LLC}},
title = {Weighted {K}orn and {P}oincar{\'{e}}-{K}orn Inequalities in the {E}uclidean Space and Associated Operators},
url = {https://doi.org/10.1007%2Fs00205-021-01741-5},
volume = {243},
year = 2022,
bdsk-url-1 = {https://doi.org/10.1007%2Fs00205-021-01741-5},
bdsk-url-2 = {https://doi.org/10.1007/s00205-021-01741-5}}
@inbook{exner2021partial,
Author = {Dolbeault, Jean and Esteban, Maria J. and Loss, Michael},
Date-Added = {2021-08-18 15:55:58 +0200},
Date-Modified = {2021-08-18 16:03:01 +0200},
Editor = {Exner, Pavel and Frank, Rupert L and Gesztesy, Fritz and Holden, Helge and Weidl, Timo},
Publisher = {\emph{Partial Differential Equations, Spectral Theory, and Mathematical Physics, The {A}ri {L}aptev Anniversary Volume}, EMS Series of Congress Reports },
Title = {Critical magnetic field for 2d magnetic {D}irac-{C}oulomb operators and {H}ardy inequalities},
Volume = {18},
Year = {2021}}
@incollection{Dolbeault-Covid19,
author = {Dolbeault, Jean},
booktitle = {Covid-19 : Regards crois\'es sur la crise},
date-added = {2021-01-10 16:11:56 +0100},
date-modified = {2021-01-10 16:15:54 +0100},
pages = {56-58},
publisher = {{Universit\'e Paris Dauphine - PSL}},
title = {H\'et\'erog\'en\'eit\'e sociale et mod\`eles d'\'epid\'emie},
year = {2021}}
@misc{bonforte2020stability,
archiveprefix = {arXiv},
author = {Matteo Bonforte and Jean Dolbeault and Bruno Nazaret and Nikita Simonov},
date-added = {2021-04-29 19:42:24 +0200},
date-modified = {2021-04-29 19:44:58 +0200},
eprint = {2007.03674},
primaryclass = {math.AP},
title = {Stability in {G}agliardo-{N}irenberg inequalities},
year = {2020}}
@misc{bonforte2020stability-sup,
archiveprefix = {arXiv},
author = {Matteo Bonforte and Jean Dolbeault and Bruno Nazaret and Nikita Simonov},
date-added = {2021-04-29 19:42:01 +0200},
date-modified = {2021-04-29 19:43:52 +0200},
eprint = {2007.03419},
primaryclass = {math.AP},
title = {Stability in {G}agliardo-{N}irenberg inequalities - Supplementary material},
year = {2020}}
@article{Dolbeault-Turinici2021,
author = {Dolbeault, Jean and Turinici, Gabriel},
date-modified = {2021-03-10 10:16:41 +0100},
doi = {doi:10.1515/cmb-2020-0115},
journal = {Computational and Mathematical Biophysics},
pages = {14--21},
title = {Social heterogeneity and the {COVID}-19 lockdown in a multi-group {SEIR} model},
url = {https://doi.org/10.1515/cmb-2020-0115},
volume = {9},
year = {2021},
Bdsk-Url-1 = {https://doi.org/10.1515/cmb-2020-0115}}
@article{Dolbeault_2020c,
Author = {Dolbeault, Jean and Turinici, Gabriel},
Date-Added = {2020-07-15 09:36:18 +0200},
Date-Modified = {2020-07-15 09:36:18 +0200},
Doi = {10.1051/mmnp/2020025},
Editor = {Augeraud, E. and Banerjee, M. and Dhersin, J.-S. and d' Onofrio, A. and Lipniacki, T. and Petrovskii, S. and Tran, Chi and Veber-Delattre, A. and Vergu, E. and Volpert, V.Editors},
Issn = {1760-6101},
Journal = {Mathematical Modelling of Natural Phenomena},
Pages = {36},
Publisher = {EDP Sciences},
Title = {{Heterogeneous social interactions and the {C}OVID-19 lockdown outcome in a multi-group {SEIR} model}},
Url = {http://dx.doi.org/10.1051/mmnp/2020025},
Volume = {15},
Year = {2020},
Bdsk-Url-1 = {http://dx.doi.org/10.1051/mmnp/2020025}}
@techreport{1911, Author = {{Juan Davila, Manuel del Pino, Jean Dolbeault, Monica Musso, Juncheng Wei}}, Institution = {Preprint Ceremade no. 1911}, Year = {2019}, Title = {{Existence and stability of infinite time blow-up in the Keller-Segel system}}}
@article{BDLS2020,
author = {E. Bouin and J. Dolbeault and L. Lafleche and C. Schmeiser},
date-added = {2021-01-23 19:03:44 +0100},
date-modified = {2021-01-23 19:04:02 +0100},
doi = {10.1007/s00605-020-01483-8},
journal = {Monatshefte f{\"u}r Mathematik},
month = {nov},
number = {1},
pages = {41--65},
publisher = {Springer Science and Business Media {LLC}},
title = {Hypocoercivity and sub-exponential local equilibria},
url = {https://doi.org/10.1007%2Fs00605-020-01483-8},
volume = {194},
year = 2020,
Bdsk-Url = {https://doi.org/10.1007/s00605-020-01483-8}}
@article{Bouin_2022,
author = {Emeric Bouin and Jean Dolbeault and Laurent Lafleche},
date-added = {2022-11-28 19:04:30 +0100},
date-modified = {2022-11-28 19:04:30 +0100},
doi = {10.1007/s00220-021-04296-4},
journal = {Communications in Mathematical Physics},
month = {jan},
number = {3},
pages = {1369--1411},
publisher = {Springer Science and Business Media {LLC}},
title = {Fractional Hypocoercivity},
url = {https://doi.org/10.1007%2Fs00220-021-04296-4},
volume = {390},
year = 2022,
bdsk-url-1 = {https://doi.org/10.1007/s00220-021-04296-4}}
@article{Addala_2021,
author = {Lanoir Addala and Jean Dolbeault and Xingyu Li and M. Lazhar Tayeb},
date-added = {2021-06-27 09:09:50 +0200},
date-modified = {2021-06-27 09:12:47 +0200},
doi = {10.1007/s10955-021-02784-4},
journal = {Journal of Statistical Physics},
month = {jun},
number = {1},
publisher = {Springer Science and Business Media {LLC}},
title = {{$L^2$}-Hypocoercivity and Large Time Asymptotics of the Linearized {V}lasov-{P}oisson-{F}okker-{P}lanck System},
url = {https://doi.org/10.1007%2Fs10955-021-02784-4},
volume = {184},
year = 2021,
Bdsk-Url-1 = {https://doi.org/10.1007%2Fs10955-021-02784-4},
Bdsk-Url-2 = {https://doi.org/10.1007/s10955-021-02784-4}}
@article{10.1093/imrn/rnz324,
author = {Jean Dolbeault and Xingyu Li},
date-added = {2022-04-06 16:25:37 +0200},
date-modified = {2022-04-06 16:35:47 +0200},
doi = {10.1093/imrn/rnz324},
journal = {International Mathematics Research Notices},
month = {jan},
number = {23},
pages = {17862--17874},
publisher = {Oxford University Press ({OUP})},
title = {Generalized Logarithmic {H}ardy-{L}ittlewood-{S}obolev Inequality},
url = {https://doi.org/10.1093/imrn/rnz324},
volume = {2021},
year = 2020}
@article{Dolbeault_2020b,
Author = {Dolbeault, Jean and Esteban, Maria J.},
Date-Added = {2020-05-30 21:09:38 +0200},
Date-Modified = {2020-05-30 21:09:38 +0200},
Doi = {10.1515/ans-2020-2080},
Issn = {1536-1365},
Journal = {Advanced Nonlinear Studies},
Month = {May},
Number = {2},
Pages = {277--291},
Publisher = {Walter de Gruyter GmbH},
Title = {Improved Interpolation Inequalities and Stability},
Url = {http://dx.doi.org/10.1515/ans-2020-2080},
Volume = {20},
Year = {2020},
Bdsk-Url-1 = {http://dx.doi.org/10.1515/ans-2020-2080}}
@article{Bonheure_2020,
Author = {Denis Bonheure and Jean Dolbeault and Maria J. Esteban and Ari Laptev and Michael Loss},
Date-Added = {2020-11-17 18:44:32 +0100},
Date-Modified = {2020-11-17 18:54:09 +0100},
Doi = {10.1142/s0129055x21500069},
Journal = {Reviews in Mathematical Physics},
Pages = {2150006, 1--29},
Publisher = {World Scientific Pub Co Pte Lt},
Title = {Inequalities involving {Aharonov-Bohm} magnetic potentials in dimensions 2 and 3},
Url = {https://doi.org/10.1142%2Fs0129055x21500069},
Volume = {33},
Year = 2021,
Bdsk-Url-1 = {https://doi.org/10.1142/S0129055X21500069}}
@inbook{JD50years,
Author = {Dolbeault, Jean},
Date-Added = {2019-03-22 23:44:17 +0100},
Date-Modified = {2019-03-22 23:50:17 +0100},
Pages = {239--241},
Publisher = {Universit{\'e} Paris-Dauphine PSL},
Title = {From irreversibility in physics to optimal convergence rates in: 50 years of research in Dauphine: yesterday, today and tomorrow 1968 / 2019},
Year = {2019}}
@article{Bonheure_2019,
Author = {Bonheure, Denis and Dolbeault, Jean and Esteban, Maria J. and Laptev, Ari and Loss, Michael},
Date-Added = {2020-04-28 15:01:39 +0200},
Date-Modified = {2020-04-28 15:01:39 +0200},
Doi = {10.1007/s00220-019-03560-y},
Issn = {1432-0916},
Journal = {Communications in Mathematical Physics},
Month = {Sep},
Number = {3},
Pages = {2071--2087},
Publisher = {Springer Science and Business Media LLC},
Title = {Symmetry Results in Two-Dimensional Inequalities for {A}haronov--{B}ohm Magnetic Fields},
Url = {http://dx.doi.org/10.1007/s00220-019-03560-y},
Volume = {375},
Year = {2019},
Bdsk-Url-1 = {http://dx.doi.org/10.1007/s00220-019-03560-y}}
@article{Dolbeault_2020a,
Author = {Dolbeault, Jean and Garc{\'\i}a-Huidobro, Marta and Man{\'a}sevich, R{\'a}ul},
Journal = {Discrete \& Continuous Dynamical Systems - A},
Number = {1},
Pages = {375--394},
Title = {Interpolation inequalities in {$\mathrm W^{1,p}( \mathbb S^1) $} and carr{\'e} du champ methods},
Volume = {40},
Year = {2020}}
@article{BDS2020,
Author = {Bouin, Emeric and Dolbeault, Jean and Schmeiser, Christian},
Date-Added = {2020-01-21 18:37:00 +0100},
Date-Modified = {2020-01-21 18:37:27 +0100},
Doi = {10.3934/krm.2020012},
Issn = {1937-5077},
Journal = {Kinetic \& Related Models},
Number = {2},
Pages = {345--371},
Publisher = {American Institute of Mathematical Sciences (AIMS)},
Title = {Diffusion and kinetic transport with very weak confinement},
Url = {http://dx.doi.org/10.3934/krm.2020012},
Volume = {13},
Year = {2020},
Bdsk-Url-1 = {http://dx.doi.org/10.3934/krm.2020012}}
@article{1806,
Author = {Bouin, Emeric and Dolbeault, Jean and Schmeiser, Christian},
Date-Added = {2020-03-26 10:59:39 +0100},
Date-Modified = {2020-03-26 11:01:54 +0100},
Doi = {10.4171/RLM/886},
Journal = {Atti della Accademia Nazionale dei Lincei. Rendiconti Lincei. Matematica e Applicazioni},
Month = {April},
Pages = {211--223},
Title = {A variational proof of {N}ash's inequality},
Volume = {31},
Year = {2020}}
@article{Carrillo_2019,
Author = {Carrillo, Jos{\'e} A. and Delgadino, Mat{\'\i}as G. and Dolbeault, Jean and Frank, Rupert L. and Hoffmann, Franca},
Journal = {Journal de Math{\'e}matiques Pures et Appliqu{\'e}es},
Month = {Dec},
Pages = {133--165},
Title = {Reverse {H}ardy--{L}ittlewood--{S}obolev inequalities},
Volume = {132},
Year = {2019}}
@unpublished{dolbeault:hal-01735446,
Author = {Dolbeault, Jean and Frank, Rupert L and Hoffmann, Franca},
Date-Added = {2018-07-13 10:23:22 +0000},
Date-Modified = {2018-07-13 10:25:18 +0000},
Hal_Id = {hal-01735446},
Hal_Version = {v1},
Keywords = {Euler--Lagrange equations ; regularity ; symmetrization ; free energy ; existence of optimal functions ; minimizer ; concentration ; Reverse Hardy-Littlewood-Sobolev inequalities ; interpolation ; non-linear diffusion},
Month = Mar,
Note = {https://hal.archives-ouvertes.fr/hal-01735446. (15/03/2018)},
Pdf = {https://hal.archives-ouvertes.fr/hal-01735446/file/DoFrHo2018.pdf},
Title = {{Reverse Hardy-Littlewood-Sobolev inequalities}},
Url = {https://hal.archives-ouvertes.fr/hal-01735446},
Year = {2018},
Bdsk-Url-1 = {https://hal.archives-ouvertes.fr/hal-01735446}}
@article{ChDoEsLe2018,
Author = {Chupin, Maxime and Dolbeault, Jean and Esteban, Maria J. and Lewin, Mathieu},
Date-Added = {2018-05-10 07:41:53 +0000},
Date-Modified = {2019-04-22 15:09:31 +0200},
Journal = {{La Gazette des Math{\'e}maticiens (Soci{\'e}t{\'e} Math{\'e}matique de France)}, vol. 156, pp.~49--61 \& Matapli (Soci{\'e}t{\'e} de Math{\'e}matiques Appliqu{\'e}es et Industrielles), vol.~115, pp.~51--72},
Title = {Une cartographie de la communaut{\'e} math{\'e}matique fran{\c c}aise},
Year = {2018}}
@inproceedings{Arnold_2018,
Author = {Dolbeault, Jean},
Booktitle = {Classical and Quantum Mechanical Models of Many-Particle Systems},
Date-Added = {2018-12-25 17:37:28 +0100},
Date-Modified = {2018-12-25 18:34:14 +0100},
Doi = {10.4171/owr/2017/56},
Editor = {Arnold, Anton and Carlen, Eric and Desvillettes, Laurent},
Issn = {1660-8933},
Journal = {Oberwolfach Reports},
Month = {Dec},
Number = {4},
Pages = {3395--3398},
Publisher = {European Mathematical Publishing House},
Title = {Hypocoercivity without confinement: mode-by-mode analysis and decay rates in the {E}uclidean space {(joint with Emeric Bouin, St\'ephane Mischler, Cl\'ement Mouhot, Christian Schmeiser)}},
Url = {http://dx.doi.org/10.4171/OWR/2017/56},
Volume = {14},
Year = {2018},
Bdsk-Url-1 = {http://dx.doi.org/10.4171/OWR/2017/56},
Bdsk-Url-2 = {http://dx.doi.org/10.4171/owr/2017/56}}
@article{doi:10.1063/1.5022121,
Author = {Dolbeault,Jean and Esteban,Maria J. and Laptev,Ari and Loss,Michael},
Doi = {10.1063/1.5022121},
Eprint = {https://doi.org/10.1063/1.5022121},
Journal = {Journal of Mathematical Physics},
Number = {5},
Pages = {051504},
Title = {Magnetic rings},
Url = {https://doi.org/10.1063/1.5022121},
Volume = {59},
Year = {2018},
Bdsk-Url-1 = {https://doi.org/10.1063/1.5022121}}
@article{doi:10.1142/S0218202518500574,
Author = {Dolbeault, Jean and Li, Xingyu},
Date-Added = {2018-12-08 14:59:52 +0100},
Date-Modified = {2018-12-08 14:59:52 +0100},
Doi = {10.1142/S0218202518500574},
Journal = {Mathematical Models and Methods in Applied Sciences},
Number = {13},
Pages = {2637-2666},
Title = {{$\Phi$-E}ntropies: convexity, coercivity and hypocoercivity for {F}okker-{P}lanck and kinetic {F}okker-{P}lanck equations},
Url = {https://doi.org/10.1142/S0218202518500574},
Volume = {28},
Year = {2018},
Bdsk-Url-1 = {https://doi.org/10.1142/S0218202518500574}}
@article{1703,
Author = {Dolbeault, Jean and Esteban, Maria J. and Loss, Michael},
Date-Added = {2018-08-20 09:25:19 +0200},
Date-Modified = {2018-08-20 09:31:22 +0200},
Journal = {Proc. Int. Cong. of Math. 2018, Rio de Janeiro},
Pages = {2279--2304},
Title = {Symmetry and symmetry breaking: rigidity and flows in elliptic {PDE}s.},
Volume = {3},
Doi = {https://doi.org/10.1142/9789813272880_0138},
Year = {2018}}
@article{Bouin_2020,
Author = {Bouin, Emeric and Dolbeault, Jean and Mischler, St{\'e}phane and Mouhot, Cl{\'e}ment and Schmeiser, Christian},
Date-Added = {2020-05-26 11:11:33 +0200},
Date-Modified = {2020-05-26 11:11:33 +0200},
Doi = {10.2140/paa.2020.2.203},
Issn = {2578-5893},
Journal = {Pure and Applied Analysis},
Month = {May},
Number = {2},
Pages = {203--232},
Publisher = {Mathematical Sciences Publishers},
Title = {Hypocoercivity without confinement},
Url = {http://dx.doi.org/10.2140/paa.2020.2.203},
Volume = {2},
Year = {2020},
Bdsk-Url-1 = {https://doi.org/10.2140/paa.2020.2.203}}
@article{Dolbeault2018,
Author = {Dolbeault, Jean and Esteban, Maria J. and Laptev, Ari and Loss, Michael},
Journal = {Annales Henri Poincar{\'e}},
Month = {May},
Number = {5},
Pages = {1439--1463},
Title = {Interpolation Inequalities and Spectral Estimates for Magnetic Operators},
Volume = {19},
Year = {2018}}
@article{1609,
Author = {Jean Dolbeault and An Zhang},
Date-Added = {2017-05-16 16:44:20 +0000},
Date-Modified = {2017-05-17 15:35:58 +0000},
Doi = {10.1080/00036811.2017.1286647},
Eprint = {http://dx.doi.org/10.1080/00036811.2017.1286647},
Journal = {Applicable Analysis},
Number = {9},
Pages = {1547--1560},
Title = {Flows and functional inequalities for fractional operators},
Url = {http://dx.doi.org/10.1080/00036811.2017.1286647},
Volume = {96},
Year = {2017},
Bdsk-Url-1 = {http://dx.doi.org/10.1080/00036811.2017.1286647}}
@article{DEL-JEPE,
Author = {Dolbeault, Jean And Esteban, Maria J. and Loss, Michael},
Date-Added = {2016-12-11 11:34:57 +0000},
Date-Modified = {2016-12-13 10:02:17 +0000},
Journal = {Journal of elliptic and parabolic equations},
Pages = {267--295},
Title = {Interpolation inequalities, nonlinear flows, boundary terms, optimality and linearization},
Volume = {2},
Year = {2016}}
@article{dolbeault2016optimal,
Author = {Dolbeault, Jean and Zhang, An},
Date-Added = {2016-11-22 16:03:31 +0000},
Date-Modified = {2016-11-22 16:03:31 +0000},
Journal = {Advanced Nonlinear Studies},
Number = {4},
Pages = {863--880},
Title = {Optimal functional inequalities for fractional operators on the sphere and applications},
Volume = {16},
Year = {2016}}
@article{1605,
Author = {Dolbeault, Jean},
Date-Added = {2017-08-30 15:34:33 +0000},
Date-Modified = {2017-08-30 15:37:47 +0000},
Doi = {10.4171/owr/2016/34},
Issn = {1660-8933},
Journal = {Oberwolfach Reports},
Number = {3},
Pages = {1980-1982},
Publisher = {European Mathematical Publishing House},
Title = {Calculus of Variations : Symmetry by flow (joint work with {M.J. Esteban, M. Loss and M. Muratori})},
Url = {http://dx.doi.org/10.4171/OWR/2016/34},
Volume = {13},
Year = {2016},
Bdsk-Url-1 = {http://dx.doi.org/10.4171/OWR/2016/34},
Bdsk-Url-2 = {http://dx.doi.org/10.4171/owr/2016/34}}
@article{Dolbeault2017133,
Author = {Jean Dolbeault and Maria J. Esteban and Michael Loss and Matteo Muratori},
Journal = {Comptes Rendus Math\'ematique},
Number = {2},
Pages = {133 - 154},
Title = {Symmetry for extremal functions in subcritical {C}affarelli--{K}ohn--{N}irenberg inequalities},
Volume = {355},
Year = {2017}}
@unpublished{DEL2015ICMP,
Author = {Dolbeault, Jean and Esteban, Maria J. and Loss, Michael},
Date-Added = {2019-12-18 17:11:56 +0100},
Date-Modified = {2019-12-18 17:14:10 +0100},
Note = {Proceedings of the XVIII International Congress on Mathematical Physics Santiago de Chile, July 27 - August 1, 2015, in Press},
Title = {Symmetry of optimizers of the {C}affarelli-{K}ohn-{N}irenberg inequalities}}
@article{Bonforte201733,
Author = {Matteo Bonforte and Jean Dolbeault and Matteo Muratori and Bruno Nazaret},
Journal = {Kinetic and Related Models},
Number = {1},
Pages = {33-59},
Title = {Weighted fast diffusion equations ({P}art {I}): Sharp asymptotic rates without symmetry and symmetry breaking in {C}affarelli-{K}ohn-{N}irenberg inequalities},
Volume = {10},
Year = {2017}}
@article{Bonforte201761,
Author = {Matteo Bonforte and Jean Dolbeault and Matteo Muratori and Bruno Nazaret},
Journal = {Kinetic and Related Models},
Number = {1},
Pages = {61-91},
Title = {Weighted fast diffusion equations ({P}art {II}): Sharp asymptotic rates of convergence in relative error by entropy methods},
Volume = {10},
Year = {2017}}
@article{Dolbeault2016,
Abstract = {We study optimal functions in a family of Caffarelli--Kohn--Nirenberg inequalities with a power-law weight, in a regime for which standard symmetrization techniques fail. We establish the existence of optimal functions, study their properties and prove that they are radial when the power in the weight is small enough. Radial symmetry up to translations is true for the limiting case where the weight vanishes, a case which corresponds to a well-known subfamily of Gagliardo--Nirenberg inequalities. Our approach is based on a concentration-compactness analysis and on a perturbation method which uses a spectral gap inequality. As a consequence, we prove that optimal functions are explicit and given by Barenblatt-type profiles in the perturbative regime.},
Author = {Dolbeault, Jean and Muratori, Matteo and Nazaret, Bruno},
Doi = {10.1007/s00208-016-1480-4},
Issn = {1432-1807},
Journal = {Mathematische Annalen},
Pages = {1--34},
Title = {Weighted interpolation inequalities: a perturbation approach},
Url = {http://dx.doi.org/10.1007/s00208-016-1480-4},
Year = {2016},
Bdsk-Url-1 = {http://dx.doi.org/10.1007/s00208-016-1480-4}}
@article{1504,
Author = {Dolbeault, Jean and Esteban, Maria J. and Loss, Michael},
Date-Added = {2017-05-03 14:25:18 +0000},
Date-Modified = {2017-05-03 14:27:29 +0000},
Doi = {doi: 10.5802/afst.1536},
Journal = {Annales de la facult{\'e} des sciences de Toulouse S{\'e}r. 6},
Number = {2},
Pages = {351--379},
Title = {Interpolation inequalities on the sphere: linear vs. nonlinear flows (In{\'e}galit{\'e}s d'interpolation sur la sph{\`e}re : flots non-lin{\'e}aires vs. flots lin{\'e}aires)},
Volume = {26},
Year = {2017},
Bdsk-Url-1 = {http://dx.doi.org/10.5802/afst.1536}}
@article{MR3570296,
Author = {Dolbeault, Jean and Esteban, Maria J. and Loss, Michael},
Coden = {INVMBH},
Date-Added = {2016-11-15 12:14:21 +0000},
Date-Modified = {2016-11-15 12:14:21 +0000},
Doi = {10.1007/s00222-016-0656-6},
Fjournal = {Inventiones Mathematicae},
Issn = {0020-9910},
Journal = {Invent. Math.},
Mrclass = {35J20 (49K30 53C21)},
Mrnumber = {3570296},
Number = {2},
Pages = {397--440},
Title = {Rigidity versus symmetry breaking via nonlinear flows on cylinders and {E}uclidean spaces},
Url = {https://dx.doi.org/10.1007/s00222-016-0656-6},
Volume = {206},
Year = {2016},
Bdsk-Url-1 = {https://dx.doi.org/10.1007/s00222-016-0656-6},
Bdsk-Url-2 = {http://dx.doi.org/10.1007/s00222-016-0656-6}}
@article{Dolbeault2015813,
Author = {Jean Dolbeault and Maria J. Esteban and Michael Loss},
Journal = {Comptes Rendus Math{\'e}matique},
Number = {9},
Pages = {813 -- 818},
Title = {{K}eller-{L}ieb-{T}hirring inequalities for {S}chr{\"o}dinger operators on cylinders},
Volume = {353},
Year = {2015}}
@article{1501,
Author = {Dolbeault, Jean and Toscani, Giuseppe},
Booktitle = {Nonlinear Partial Differential Equations, in honor of Juan Luis V{\'a}zquez for his 70th birthday},
Date = {2016/6//},
Date-Added = {2016-04-18 20:24:31 +0000},
Date-Modified = {2016-04-18 20:25:56 +0000},
Doi = {http://dx.doi.org/10.1016/j.na.2015.11.012},
Isbn = {0362-546X},
Journal = {Nonlinear Analysis: Theory, Methods \& Applications},
Keywords = {Nonlinear diffusion equations; Gagliardo--Nirenberg--Sobolev inequalities; Best matching Barenblatt profiles},
Month = {6},
Pages = {31--43},
Title = {Nonlinear diffusions: Extremal properties of {B}arenblatt profiles, best matching and delays},
Ty = {JOUR},
Url = {http://www.sciencedirect.com/science/article/pii/S0362546X15003880},
Volume = {138},
Year = {2016},
Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/pii/S0362546X15003880},
Bdsk-Url-2 = {http://dx.doi.org/10.1016/j.na.2015.11.012}}
@article{Dolbeault_2017,
Author = {Dolbeault, Jean and Kowalczyk, Micha{\l}},
Date-Added = {2017-12-25 14:04:21 +0000},
Date-Modified = {2017-12-25 14:04:21 +0000},
Doi = {10.5802/afst.1557},
Issn = {2258-7519},
Journal = {Annales de la facult{\'e} des sciences de Toulouse Math{\'e}matiques},
Number = {4},
Pages = {949--977},
Publisher = {Cellule MathDoc/CEDRAM},
Title = {Uniqueness and rigidity in nonlinear elliptic equations, interpolation inequalities, and spectral estimates},
Url = {http://dx.doi.org/10.5802/afst.1557},
Volume = {26},
Year = {2017},
Bdsk-Url-1 = {http://dx.doi.org/10.5802/afst.1557}}
@article{DoEsFiTe2014,
Abstract = {We take advantage of a rigidity result for the equation satisfied by an extremal function associated with a special case of the Caffarelli-Kohn-Nirenberg inequalities to get a symmetry result for a larger set of inequalities. The main ingredient is a reparametrization of the solutions to the Euler-Lagrange equations and estimates based on the rigidity result. The symmetry results cover a range of parameters which go well beyond the one that can be achieved by symmetrization methods or comparison techniques so far.},
Author = {Dolbeault, Jean and Esteban, Maria J. and Filippas, Stathis and Tertikas, Achilles},
Date-Modified = {2018-10-03 11:48:49 +0800},
Day = {01},
Doi = {10.1007/s00526-015-0871-9},
Issn = {1432-0835},
Journal = {Calculus of Variations and Partial Differential Equations},
Month = {Nov},
Number = {3},
Pages = {2465--2481},
Title = {Rigidity results with applications to best constants and symmetry of {C}affarelli-{K}ohn-{N}irenberg and logarithmic {H}ardy inequalities},
Url = {https://doi.org/10.1007/s00526-015-0871-9},
Volume = {54},
Year = {2015},
Bdsk-Url-1 = {https://doi.org/10.1007/s00526-015-0871-9}}
@article{MR3493423,
Author = {Dolbeault, Jean and Toscani, Giuseppe},
Date-Modified = {2017-05-17 15:31:03 +0000},
Doi = {10.1093/imrn/rnv131},
Fjournal = {International Mathematics Research Notices. IMRN},
Issn = {1073-7928},
Journal = {Int. Math. Res. Not. IMRN},
Mrclass = {39B62 (46E35)},
Mrnumber = {3493423},
Number = {2},
Pages = {473--498},
Title = {Stability results for logarithmic {S}obolev and {G}agliardo-{N}irenberg inequalities},
Url = {http://dx.doi.org/10.1093/imrn/rnv131},
Volume = {2016},
Year = {2016},
Bdsk-Url-1 = {http://dx.doi.org/10.1093/imrn/rnv131}}
@article{1751-8121-48-6-065206,
Author = {Jean Dolbeault and Giuseppe Toscani},
Journal = {Journal of Physics A: Mathematical and Theoretical},
Number = {6},
Pages = {065206},
Title = {Best matching {B}arenblatt profiles are delayed},
Volume = {48},
Year = {2015}}
@article{Cor-Dol-GarHui-Ma15,
Author = {Cort{\'a}zar, Carmen and Dolbeault, Jean and Garc\'{\i}a-Huidobro, Marta and Man{\'a}sevich, R{\'a}ul},
Date-Added = {2014-08-18 14:57:23 +0000},
Date-Modified = {2014-08-18 15:05:26 +0000},
Journal = {Nonlinear Analysis: Theory, Methods \& Applications},
Pages = {1-22},
Title = {Existence of sign changing solutions for an equation with a weighted $p$-{L}aplace operator},
Volume = {110},
Year = {2014}}
@article{Dolbeault20173059,
Author = {Jean Dolbeault and Maria J. Esteban and Gaspard Jankowiak},
Journal = {Discrete and Continuous Dynamical Systems},
Number = {6},
Pages = {3059-3078},
Title = {Onofri inequalities and rigidity results},
Volume = {37},
Year = {2017}}
@article{Dolbeault:2015ly,
Author = {Dolbeault, Jean and Esteban, Maria J. and Jankowiak, Gaspard},
Journal = {Chinese Annals of Math. B},
Number = {5},
Pages = {777--802},
Title = {The {M}oser-{T}rudinger-{O}nofri inequality},
Volume = {36},
Year = {2015},
Doi = {http://dx.doi.org/10.1007/s11401-015-0976-7}}
@article{MR3227280,
Author = {Dolbeault, Jean and Jankowiak, Gaspard},
Journal = {J. Differential Equations},
Number = {6},
Pages = {1689--1720},
Title = {Sobolev and {H}ardy--{L}ittlewood--{S}obolev inequalities},
Volume = {257},
Year = {2014}}
@article{DEKL,
Author = {Dolbeault, Jean and Esteban, Maria J. and Kowalczyk, Michal and Loss, Michael},
Date-Added = {2014-03-01 18:51:48 +0000},
Date-Modified = {2014-03-01 18:51:48 +0000},
Journal = {Discrete and Continuous Dynamical Systems Series S (DCDS-S)},
Keywords = {Sobolev inequality, interpolation, Gagliardo-Nirenberg inequalities, logarithmic Sobolev inequality, heat equation, hypercontractivity, spectral decomposition},
Month = {August},
Number = {4},
Pages = {695--724},
Title = {Improved interpolation inequalities on the sphere},
Volume = {7},
Year = {2014}}
@article{Dolbeault-Stanczy2015,
Author = {Dolbeault, Jean and Sta{\'n}czy, Robert},
Date-Added = {2014-08-18 14:07:03 +0000},
Date-Modified = {2014-08-18 14:09:43 +0000},
Journal = {Discrete and Continuous Dynamical Systems - Series A (DCDS-A)},
Number = {1},
Pages = {139-154},
Title = {Bifurcation diagrams and multiplicity for nonlocal elliptic equations modeling gravitating systems based on {F}ermi-{D}irac statistics},
Volume = {35},
Year = {2015}}
@article{Dolbeault06082014,
Author = {Dolbeault, Jean and Esteban, Maria J. and Laptev, Ari and Loss, Michael},
Date-Modified = {2014-10-14 20:18:57 +0000},
Journal = {Journal of the London Mathematical Society},
Number = {2},
Pages = {525-550},
Title = {One-dimensional {G}agliardo--{N}irenberg--{S}obolev inequalities: remarks on duality and flows},
Volume = {90},
Year = {2014}}
@article{MR3078678,
Author = {Catto, I. and Dolbeault, J. and S{\'a}nchez, O. and Soler, J.},
Date-Added = {2013-11-12 13:38:59 +0000},
Date-Modified = {2013-11-12 13:38:59 +0000},
Doi = {10.1142/S0218202513500541},
Fjournal = {Mathematical Models and Methods in Applied Sciences},
Issn = {0218-2025},
Journal = {Math. Models Methods Appl. Sci.},
Mrclass = {35Q55 (35A15 35B35 35B45 35J20 35M31)},
Mrnumber = {3078678},
Number = {10},
Pages = {1915--1938},
Title = {Existence of steady states for the {M}axwell-{S}chr\"odinger-{P}oisson system: exploring the applicability of the concentration-compactness principle},
Url = {http://dx.doi.org/10.1142/S0218202513500541},
Volume = {23},
Year = {2013},
Bdsk-Url-1 = {http://dx.doi.org/10.1142/S0218202513500541}}
@article{1305,
Author = {Dolbeault, Jean and Jankowiak, Gaspard and Markowich, Peter},
Date-Added = {2015-10-12 06:51:18 +0000},
Date-Modified = {2015-10-12 06:53:54 +0000},
Doi = {10.2140/memocs.2015.3.211},
Journal = {Mathematics and Mechanics of Complex Systems},
Number = {3},
Pages = {211-241},
Title = {Stationary solutions of {K}eller-{S}egel-type crowd motion and herding models: multiplicity and dynamical stability},
Volume = {3},
Year = {2015}}
@article{0951-7715-27-3-435,
Abstract = {In this paper, we study the bifurcation of branches of non-symmetric solutions from the symmetric branch of solutions to the Euler--Lagrange equations satisfied by optimal functions in functional inequalities of Caffarelli--Kohn--Nirenberg type. We establish the asymptotic behaviour of the branches for large values of the bifurcation parameter. We also perform an expansion in a neighbourhood of the first bifurcation point on the branch of symmetric solutions that characterizes the local behaviour of the non-symmetric branch. These results are compatible with earlier numerical and theoretical observations. Further numerical results allow us to distinguish two global scenarios. This sheds new light on the symmetry breaking phenomenon.},
Author = {Dolbeault, Jean and Esteban, Maria J.},
Journal = {Nonlinearity},
Number = {3},
Pages = {435},
Title = {Branches of non-symmetric critical points and symmetry breaking in nonlinear elliptic partial differential equations},
Url = {http://stacks.iop.org/0951-7715/27/i=3/a=435},
Volume = {27},
Year = {2014},
Bdsk-Url-1 = {http://stacks.iop.org/0951-7715/27/i=3/a=435}}
@article{Dolbeault2013437,
author = {Jean Dolbeault and Maria J. Esteban and Ari Laptev and Michael Loss},
journal = {Comptes Rendus Math{\'e}matique},
number = {11--12},
pages = {437 - 440},
title = {Spectral properties of {S}chr{\"o}dinger operators on compact manifolds: Rigidity, flows, interpolation and spectral estimates},
volume = {351},
year = {2013}}
@article{Dolbeault20141338,
Author = {Jean Dolbeault and Maria J. Esteban and Michael Loss},
Journal = {Journal of Functional Analysis},
Number = {5},
Pages = {1338 - 1363},
Title = {Nonlinear flows and rigidity results on compact manifolds},
Volume = {267},
Year = {2014}}
@article{DolEsLa-APDE2014,
Author = {Dolbeault, Jean and Esteban, Maria J. and Laptev, Ari},
Date-Added = {2014-05-31 07:41:16 +0000},
Date-Modified = {2014-05-31 07:44:23 +0000},
Doi = {10.2140/apde.2014.7.435},
Journal = {Analysis \& PDE},
Number = {2},
Pages = {435--460},
Title = {Spectral estimates on the sphere},
Volume = {7},
Year = {2014}}
@article{DEKL2012,
Author = {Dolbeault, Jean and Esteban, Maria J. and Kowalczyk, Michal and Loss, Michael},
Date-Added = {2012-12-05 16:56:39 +0000},
Date-Modified = {2012-12-05 16:59:14 +0000},
Journal = {Chinese Annals of Mathematics, Series B},
Number = {1},
Pages = {99-112},
Title = {Sharp Interpolation Inequalities on the Sphere: New Methods and Consequences},
Volume = {34},
Year = {2013}}
@article{1207,
Author = {Dolbeault, Jean and Garc{\'\i}a-Huidobro, Marta and Manasevich, Raul},
Date-Added = {2013-05-21 18:05:02 +0000},
Date-Modified = {2013-05-21 18:06:53 +0000},
Journal = {Advanced Nonlinear Studies},
Pages = {149--178},
Title = {Qualitative Properties and Existence of Sign Changing Solutions with Compact Support for an Equation with a p-{L}aplace Operator},
Volume = {13},
Year = {2013}}
%% This BibTeX bibliography file was created using BibDesk.
%% http://bibdesk.sourceforge.net/
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@article{MR2996772,
Author = {Campos, Juan and Dolbeault, Jean},
Date-Modified = {2019-07-22 20:46:22 +0200},
Doi = {10.1016/j.crma.2012.10.023},
Fjournal = {Comptes Rendus Math\'ematique. Acad\'emie des Sciences. Paris},
Issn = {1631-073X},
Journal = {C. R. Math. Acad. Sci. Paris},
Mrclass = {35A23 (35K55 35M31 35P15)},
Mrnumber = {2996772},
Number = {21-22},
Pages = {949--954},
Title = {A functional framework for the {K}eller-{S}egel system: logarithmic {H}ardy-{L}ittlewood-{S}obolev and related spectral gap inequalities},
Url = {https://proxy.bu.dauphine.fr:443/http/dx.doi.org/10.1016/j.crma.2012.10.023},
Volume = {350},
Year = {2012},
Bdsk-Url-1 = {https://proxy.bu.dauphine.fr:443/http/dx.doi.org/10.1016/j.crma.2012.10.023},
Bdsk-Url-2 = {https://doi.org/10.1016/j.crma.2012.10.023}}
@article{MR3196188,
Author = {Campos, Juan F. and Dolbeault, Jean},
Date-Added = {2014-05-04 10:18:37 +0000},
Date-Modified = {2014-05-04 10:18:37 +0000},
Doi = {10.1080/03605302.2014.885046},
Fjournal = {Communications in Partial Differential Equations},
Issn = {0360-5302},
Journal = {Comm. Partial Differential Equations},
Mrclass = {Preliminary Data},
Mrnumber = {3196188},
Number = {5},
Pages = {806--841},
Title = {Asymptotic {E}stimates for the {P}arabolic-{E}lliptic {K}eller-{S}egel {M}odel in the {P}lane},
Url = {http://dx.doi.org/10.1080/03605302.2014.885046},
Volume = {39},
Year = {2014},
Bdsk-Url-1 = {http://dx.doi.org/10.1080/03605302.2014.885046}}
@techreport{1204,
Author = {Campos, Juan F. and Dolbeault, Jean},
Date-Modified = {2013-09-26 21:06:01 +0000},
Institution = {Ceremade},
Title = {A numerical study of linearized Keller-Segel operator in self-similar variables},
Year = {2012}}
@article{FreefemDolbeaultEsteban,
Author = {Dolbeault, Jean and Esteban, Maria J.},
Date-Added = {2013-04-04 13:01:56 +0000},
Date-Modified = {2013-04-04 13:05:18 +0000},
Journal = {Journal of Numerical Mathematics},
Month = {March},
Number = {3-4},
Pages = {233---249},
Title = {A scenario for symmetry breaking in {C}affarelli-{K}ohn-{N}irenberg inequalities},
Volume = {20},
Year = {2013}}
@article{Dolbeault22102012,
Abstract = {This paper is devoted to the adaptation of the method developed in [4, 3] to a Fokker--Planck equation for fiber lay-down, which has been studied in [1, 5]. Exponential convergence toward a unique stationary state is proved in a norm that is equivalent to a weighted L2 norm. The method is based on a micro/macro decomposition that is well adapted to the diffusion limit regime.},
Author = {Dolbeault, Jean and Klar, Axel and Mouhot, Cl{\'e}ment and Schmeiser, Christian},
Doi = {10.1093/amrx/abs015},
Eprint = {http://amrx.oxfordjournals.org/content/early/2012/10/22/amrx.abs015.full.pdf+html},
Journal = {Applied Mathematics Research eXpress},
Title = {Exponential Rate of Convergence to Equilibrium for a Model Describing Fiber Lay-Down Processes},
Url = {http://amrx.oxfordjournals.org/content/early/2012/10/22/amrx.abs015.abstract},
Year = {2012},
Bdsk-Url-1 = {http://amrx.oxfordjournals.org/content/early/2012/10/22/amrx.abs015.abstract},
Bdsk-Url-2 = {http://dx.doi.org/10.1093/amrx/abs015}}
@article{delPino26062012,
Author = {del Pino, Manuel and Dolbeault, Jean},
Date-Added = {2014-09-02 05:14:25 +0000},
Date-Modified = {2014-09-02 05:15:12 +0000},
Doi = {10.1093/imrn/rns119},
Eprint = {http://imrn.oxfordjournals.org/content/early/2012/06/26/imrn.rns119.full.pdf+html},
Journal = {International Mathematics Research Notices},
Number = {15},
Pages = {3600-3611},
Title = {The {E}uclidean {O}nofri Inequality in Higher Dimensions},
Url = {http://imrn.oxfordjournals.org/content/early/2012/06/26/imrn.rns119.abstract},
Volume = {2013},
Year = {2012},
Bdsk-Url-1 = {http://imrn.oxfordjournals.org/content/early/2012/06/26/imrn.rns119.abstract},
Bdsk-Url-2 = {http://dx.doi.org/10.1093/imrn/rns119}}
@article{Dolbeault20125985,
Author = {Dolbeault, Jean and Volzone, Bruno},
Date-Added = {2012-08-06 14:18:13 +0000},
Date-Modified = {2012-08-06 14:23:08 +0000},
Doi = {10.1016/j.na.2012.05.008},
Issn = {0362-546X},
Journal = {Nonlinear Analysis: Theory, Methods \& Applications},
Keywords = {Weighted norms},
Number = {16},
Pages = {5985 - 6001},
Title = {Improved {P}oincar{\'e} inequalities},
Url = {http://www.sciencedirect.com/science/article/pii/S0362546X12002064},
Volume = {75},
Year = {2012},
Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/pii/S0362546X12002064},
Bdsk-Url-2 = {http://dx.doi.org/10.1016/j.na.2012.05.008}}
@article{Dolbeault2013917,
Author = {Jean Dolbeault and Giuseppe Toscani},
Date-Added = {2013-09-19 07:00:51 +0000},
Date-Modified = {2014-09-05 06:39:56 +0000},
Doi = {http://dx.doi.org/10.1016/j.anihpc.2012.12.004},
Issn = {0294-1449},
Journal = {Annales de l'Institut Henri Poincar{\'e} (C) Non Linear Analysis},
Keywords = {Optimal constants},
Number = {5},
Pages = {917 - 934},
Title = {Improved interpolation inequalities, relative entropy and fast diffusion equations},
Url = {http://www.sciencedirect.com/science/article/pii/S0294144913000048},
Volume = {30},
Year = {2013},
Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/pii/S0294144913000048},
Bdsk-Url-2 = {http://dx.doi.org/10.1016/j.anihpc.2012.12.004}}
@article{1103,
Author = {Dolbeault, Jean and Esteban, Maria J. and Loss, Michael},
Date-Added = {2012-05-14 16:22:20 +0000},
Date-Modified = {2012-05-14 16:25:46 +0000},
Journal = {J. Math. Phys.},
Number = {P},
Pages = {095204},
Title = {Symmetry of extremals of functional inequalities via spectral estimates for linear operators},
Volume = {53},
Year = {2012}}
@article{doi:10.1137/110835190,
Author = {Dolbeault, J. and Nazaret, B. and Savar{\'e}, G.},
Date-Modified = {2012-11-23 09:44:29 +0000},
Doi = {10.1137/110835190},
Eprint = {http://epubs.siam.org/doi/pdf/10.1137/110835190},
Journal = {SIAM Journal on Mathematical Analysis},
Number = {5},
Pages = {3186-3216},
Title = {From {P}oincar{\'e} to Logarithmic {S}obolev Inequalities: A Gradient Flow Approach},
Url = {http://epubs.siam.org/doi/abs/10.1137/110835190},
Volume = {44},
Year = {2012},
Bdsk-Url-1 = {http://epubs.siam.org/doi/abs/10.1137/110835190},
Bdsk-Url-2 = {http://dx.doi.org/10.1137/110835190}}
@article{1101,
Author = {Dolbeault, Jean},
Date-Added = {2012-04-19 17:42:00 +0000},
Date-Modified = {2012-04-19 17:44:12 +0000},
Journal = {Math. Res. Lett.},
Number = {06},
Pages = {1037--1050},
Title = {{S}obolev and {H}ardy-{L}ittlewood-{S}obolev inequalities: duality and fast diffusion},
Volume = {18},
Year = {2011}}
@incollection{Dolbeault-Esteban-Oslo,
Affiliation = {Ceremade, UMR CNRS No. 7534, Universit{\'e} Paris-Dauphine, Place de Lattre de Tassigny, 75775 Paris C{\'e}dex 16, France},
Author = {Dolbeault, Jean and Esteban, Maria J.},
Booktitle = {Nonlinear Partial Differential Equations},
Date-Modified = {2012-04-17 15:35:39 +0000},
Editor = {Holden, Helge and Karlsen, Kenneth H.},
Isbn = {978-3-642-25361-4},
Keyword = {Mathematics and Statistics},
Note = {10.1007/978-3-642-25361-4-6},
Pages = {117-130},
Publisher = {Springer Berlin Heidelberg},
Series = {Abel Symposia},
Title = {About Existence, Symmetry and Symmetry Breaking for Extremal Functions of Some Interpolation Functional Inequalities},
Url = {http://dx.doi.org/10.1007/978-3-642-25361-4_6},
Volume = {7},
Year = {2012},
Bdsk-Url-1 = {http://dx.doi.org/10.1007/978-3-642-25361-4_6}}
@inbook{1008,
Author = {Dolbeault, Jean and Esteban, Maria J.},
Date-Modified = {2017-05-17 15:02:05 +0000},
Pages = {178--182},
Publisher = {Proceedings of the QMath11 Conference Mathematical Results in Quantum Physics, World Scientific},
Title = {Extremal functions in some interpolation inequalities: Symmetry, symmetry breaking and estimates of the best constants},
Year = {2011}}
@article{springerlink:10.1007/s00526-011-0394-y, Author = {Dolbeault, Jean and Esteban, Maria and Tarantello, Gabriella and Tertikas, Achilles}, Date-Added = {2011-10-13 07:57:38 +0200}, Date-Modified = {2011-10-13 07:57:38 +0200}, Journal = {Calculus of Variations and Partial Differential Equations}, Pages = {461-485}, Title = {Radial symmetry and symmetry breaking for some interpolation inequalities}, Volume = {42}, Year = {2011}}
@article{springerlink:10.1007/s00023-011-0096-1, Author = {Aki, Gonca and Dolbeault, Jean and Sparber, Christof}, Date-Added = {2011-08-24 15:34:24 +0200}, Date-Modified = {2011-08-24 15:34:24 +0200}, Journal = {Annales Henri Poincar\'e}, Pages = {1055-1079}, Title = {Thermal Effects in Gravitational {H}artree Systems}, Volume = {12}, Year = {2011}}
@article{1005,
Author = {Dolbeault,Jean and Esteban,Maria J.},
Date-Modified = {2012-08-17 10:20:40 +0000},
Doi = {10.1017/S0308210510001101},
Eprint = {http://journals.cambridge.org/article_S0308210510001101},
Journal = {Proceedings of the Royal Society of Edinburgh, Section: A Mathematics},
Number = {04},
Pages = {745-767},
Title = {Extremal functions for {C}affarelli-{K}ohn-{N}irenberg and logarithmic {H}ardy inequalities},
Url = {http://dx.doi.org/10.1017/S0308210510001101},
Volume = {142},
Year = {2012},
Bdsk-Url-1 = {http://dx.doi.org/10.1017/S0308210510001101}}
@article{1004,
Author = {Dolbeault, Jean and Toscani, Giuseppe},
Journal = {Kinetic and Related Models},
Number = {3},
Pages = {701--716},
Title = {Fast diffusion equations: matching large time asymptotics by relative entropy methods},
Volume = {4},
Year = {2011}}
@article{MR3324910,
Author = {Dolbeault, Jean and Mouhot, Cl{\'e}ment and Schmeiser, Christian},
Date-Added = {2015-05-14 14:46:48 +0000},
Date-Modified = {2015-05-14 14:47:07 +0000},
Doi = {10.1090/S0002-9947-2015-06012-7},
Fjournal = {Transactions of the American Mathematical Society},
Issn = {0002-9947},
Journal = {Trans. Amer. Math. Soc.},
Mrclass = {35F10 (35B40 35H10 82C31)},
Mrnumber = {3324910},
Number = {6},
Pages = {3807--3828},
Title = {Hypocoercivity for linear kinetic equations conserving mass},
Url = {http://dx.doi.org/10.1090/S0002-9947-2015-06012-7},
Volume = {367},
Year = {2015},
Bdsk-Url-1 = {http://dx.doi.org/10.1090/S0002-9947-2015-06012-7},
Bdsk-Url-2 = {http://dx.doi.org/10.1090/S0002-9947-2015-06012-7}}
@inproceedings{Dolbeault1002,
Author = {Dolbeault, Jean},
Booktitle = {Optimal Constants in the Theory of Sobolev Spaces and PDEs},
Date-Added = {2012-01-02 16:07:16 +0100},
Date-Modified = {2017-05-17 15:03:46 +0000},
Editor = {{Oberwolfach reports 08/2010}},
Organization = {Organised by Andrea Cianchi, Firenze Maria J. Esteban, Paris Bernd Kawohl, K\"oln},
Pages = {330--334},
Publisher = {European Mathematical Society},
Title = {Extremal functions and symmetry breaking in {C}affarelli-{K}ohn-{N}irenberg inequalities},
Volume = {7},
Year = {2010}}
@article{1001,
Affiliation = {Ceremade (UMR CNRS n$\,^{\circ}$ 7534), Universit{\'e} Paris-Dauphine, Place de Lattre de Tassigny, 75775 Paris C{\'e}dex 16, France},
Author = {Campos, Juan and del Pino, Manuel and Dolbeault, Jean},
Date-Modified = {2010-11-07 10:34:08 +0100},
Issn = {0010-3616},
Issue = {3},
Journal = {Communications in Mathematical Physics},
Keyword = {Physics and Astronomy},
Note = {10.1007/s00220-010-1128-2},
Pages = {765-788},
Publisher = {Springer Berlin / Heidelberg},
Title = {Relative Equilibria in Continuous Stellar Dynamics},
Url = {http://dx.doi.org/10.1007/s00220-010-1128-2},
Volume = {300},
Year = {2010},
Bdsk-Url-1 = {http://dx.doi.org/10.1007/s00220-010-1128-2}}
@article{delPino20102045,
Author = {Manuel del Pino and Jean Dolbeault and Stathis Filippas and Achilles Tertikas},
Date-Added = {2019-01-18 13:53:50 +0100},
Date-Modified = {2019-01-18 13:53:50 +0100},
Doi = {DOI: 10.1016/j.jfa.2010.06.005},
Issn = {0022-1236},
Journal = {Journal of Functional Analysis},
Keywords = {Symmetry breaking},
Number = {8},
Pages = {2045 - 2072},
Title = {A logarithmic {H}ardy inequality},
Url = {http://www.sciencedirect.com/science/article/B6WJJ-50H1HNB-1/2/28ebd528976d1aa84cada0d94acee4e3},
Volume = {259},
Year = {2010},
Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/B6WJJ-50H1HNB-1/2/28ebd528976d1aa84cada0d94acee4e3},
Bdsk-Url-2 = {https://doi.org/10.1016/j.jfa.2010.06.005}}
@article{springerlink:10.1007/s00285-010-0357-5,
Affiliation = {Instytut Matematyczny, Uniwersytet Wroc{\l}awski, pl.Grunwaldzki 2/4, 50-384 Wroc{\l}aw, Poland},
Author = {Biler, Piotr and Corrias, Lucilla and Dolbeault, Jean},
Issn = {0303-6812},
Issue = {1},
Journal = {Journal of Mathematical Biology},
Keyword = {Biomedical and Life Sciences},
Note = {10.1007/s00285-010-0357-5},
Pages = {1-32},
Publisher = {Springer Berlin / Heidelberg},
Title = {Large mass self-similar solutions of the parabolic--parabolic Keller--Segel model of chemotaxis},
Url = {http://dx.doi.org/10.1007/s00285-010-0357-5},
Volume = {63},
Year = {2011},
Bdsk-Url-1 = {http://dx.doi.org/10.1007/s00285-010-0357-5}}
@article{Bartier201176,
Author = {Jean-Philippe Bartier and Adrien Blanchet and Jean Dolbeault and Miguel Escobedo},
Date-Added = {2010-10-04 15:05:05 +0200},
Date-Modified = {2010-10-04 15:05:05 +0200},
Doi = {DOI: 10.1016/j.aml.2010.08.020},
Issn = {0893-9659},
Journal = {Applied Mathematics Letters},
Keywords = {Logarithmic Sobolev inequality},
Number = {1},
Pages = {76 - 81},
Title = {Improved intermediate asymptotics for the heat equation},
Url = {http://www.sciencedirect.com/science/article/B6TY9-50R6KBV-2/2/9ba3466cfd0c1d3f91be2943622ac933},
Volume = {24},
Year = {2011},
Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/B6TY9-50R6KBV-2/2/9ba3466cfd0c1d3f91be2943622ac933},
Bdsk-Url-2 = {http://dx.doi.org/10.1016/j.aml.2010.08.020}}
@article {MR2726546,
AUTHOR = {Bonforte, M. and Dolbeault, J. and Grillo, G. and Vazquez, J.
L.},
TITLE = {Sharp rates of decay of solutions to the nonlinear fast
diffusion equation via functional inequalities},
JOURNAL = {Proc. Natl. Acad. Sci. USA},
FJOURNAL = {Proceedings of the National Academy of Sciences of the United
States of America},
VOLUME = {107},
YEAR = {2010},
NUMBER = {38},
PAGES = {16459--16464},
ISSN = {1091-6490},
MRCLASS = {35K57 (35B44)},
MRNUMBER = {2726546},
DOI = {10.1073/pnas.1003972107},
}
@article{0902,
Author = {Dolbeault, Jean and Esteban, Maria J. and Loss, Michael and Tarantello, Gabriella},
Date-Added = {2009-08-10 07:14:29 -0700},
Date-Modified = {2009-08-10 07:17:37 -0700},
Journal = {Advanced Nonlinear Studies},
Pages = {713--727},
Title = {On the Symmetry of Extremals for the {C}affarelli-{K}ohn-{N}irenberg Inequalities},
Volume = {9},
Year = {2009}}
@article{0901,
Author = {Dolbeault, Jean and Sta{\'n}czy, Robert},
Date-Modified = {2014-09-05 06:44:11 +0000},
Journal = {Annales Henri Poincar{\'e}},
Month = {02},
Number = {7},
Pages = {1311--1333},
Title = {Non-Existence and Uniqueness Results for Supercritical Semilinear Elliptic Equations},
Volume = {10},
Year = {2010}}
@article{MR2568716,
Author = {Blanchet, Adrien and Dolbeault, Jean and Escobedo, Miguel and Fern{\'a}ndez, Javier},
Coden = {JMANAK},
Date-Added = {2010-02-17 07:02:04 +0100},
Date-Modified = {2010-02-17 07:02:04 +0100},
Doi = {10.1016/j.jmaa.2009.07.034},
Fjournal = {Journal of Mathematical Analysis and Applications},
Issn = {0022-247X},
Journal = {J. Math. Anal. Appl.},
Mrclass = {35Kxx (35Qxx 92C17)},
Mrnumber = {MR2568716},
Number = {2},
Pages = {533--542},
Title = {Asymptotic behaviour for small mass in the two-dimensional parabolic-elliptic {K}eller-{S}egel model},
Url = {https://proxy.bu.dauphine.fr:443/http/dx.doi.org/10.1016/j.jmaa.2009.07.034},
Volume = {361},
Year = {2010},
Bdsk-Url-1 = {https://proxy.bu.dauphine.fr:443/http/dx.doi.org/10.1016/j.jmaa.2009.07.034},
Bdsk-Url-2 = {http://dx.doi.org/10.1016/j.jmaa.2009.07.034}}
@article{Dolbeault2009511,
Author = {Dolbeault, Jean and Mouhot, Cl{\'e}ment and Schmeiser, Christian},
Date-Added = {2009-04-23 10:26:52 +0000},
Date-Modified = {2010-02-17 11:57:24 +0100},
Doi = {DOI: 10.1016/j.crma.2009.02.025},
Issn = {1631-073X},
Journal = {Comptes Rendus Math{\'e}matique},
Number = {9-10},
Pages = {511 - 516},
Title = {Hypocoercivity for kinetic equations with linear relaxation terms},
Url = {http://www.sciencedirect.com/science/article/B6X1B-4W0349G-1/2/e28082119a2852bfa1bc5710eafbc1a2},
Volume = {347},
Year = {2009},
Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/B6X1B-4W0349G-1/2/e28082119a2852bfa1bc5710eafbc1a2},
Bdsk-Url-2 = {http://dx.doi.org/10.1016/j.crma.2009.02.025}}
@article{Dolbeault20092870,
title = "Multiplicity results for the assigned {G}auss curvature problem in ${R}^2$",
journal = "Nonlinear Analysis: Theory, Methods \& Applications",
volume = "70",
number = "8",
pages = "2870 - 2881",
year = "2009",
note = "Liouville Theorems and Detours",
issn = "0362-546X",
doi = "DOI: 10.1016/j.na.2008.12.040",
url = "http://www.sciencedirect.com/science/article/B6V0Y-4V70R7M-4/2/d64d87db2a971966862ecc183dfe652d",
author = "Jean Dolbeault and Maria J. Esteban and Gabriella Tarantello",
keywords = "Gauss curvature",
keywords = "Conical singularities",
keywords = "Riemannian manifolds",
keywords = "Liouville equation",
keywords = "Onsager equation",
keywords = "Self-dual gauge field vortices",
keywords = "Stereographic projection",
keywords = "Emden-Fowler transformation",
keywords = "Blow-up",
keywords = "Radial symmetry",
keywords = "Uniqueness",
keywords = "Multiplicity"
}
@article{Blanchet:2008fv,
Abstract = { By analytical methods we study the large time properties of the solution of a simple one-dimensional model of stochastic Stokes' drift. Semi-explicit formulae allow us to characterize the behaviour of the solutions and compute global quantities such as the asymptotic speed of the center of mass or the effective diffusion coefficient. Using an equivalent tilted ratchet model, we observe that the speed of the center of mass converges exponentially to its limiting value. A diffuse, oscillating front attached to the center of mass appears. The description of the front is given using an asymptotic expansion. The asymptotic solution attracts all solutions at an algebraic rate which is determined by the effective diffusion coefficient. The proof relies on an entropy estimate based on homogenized logarithmic Sobolev inequalities. In the travelling frame, the macroscopic profile obeys to an isotropic diffusion. Compared with the original diffusion, diffusion is enhanced or reduced, depending on the regime. At least in the limit cases, the rate of convergence to the effective profile is always decreased. All these considerations allow us to define a notion of efficiency for coherent transport, characterized by a dimensionless number, which is illustrated on two simple examples of travelling potentials with a sinusoidal shape in the first case, and a sawtooth shape in the second case.},
Author = {Blanchet, Adrien and Dolbeault, Jean and Kowalczyk, Michal},
Date-Added = {2008-09-10 09:40:13 +0200},
Date-Modified = {2008-09-10 09:40:47 +0200},
Journal = {Physica A: Statistical Mechanics and its Applications},
Keywords = {Stochastic Stokes' drift; Drift velocity; Effective diffusion; Ratchet; Brownian motion; Molecular motors; Transport coherence},
Number = {23},
Pages = {5741--5751},
Title = {Travelling fronts in stochastic {S}tokes' drifts},
Ty = {JOUR},
Url = {http://www.sciencedirect.com/science/article/B6TVG-4SSG4VR-2/2/c29eb37d372a6cbcd22693d332a1dcc4},
Volume = {387},
Year = {2008},
Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/B6TVG-4SSG4VR-2/2/c29eb37d372a6cbcd22693d332a1dcc4}}
@article{blanchet:46,
Author = {Adrien Blanchet and Jean Dolbeault and MichaL Kowalczyk},
Doi = {10.1137/080720322},
Journal = {SIAM Journal on Mathematical Analysis},
Keywords = {stochastic Stokes' drift; Brownian ratchets; molecular motors; asymptotic expansion; doubly periodic equation; FokkerPlanck equation; moment estimates; contraction; transport; traveling potential; traveling front; effective diffusion; intermediate asymptotics; functional inequalities; sharp constants; Poincare inequality; spectral gap; generalized Poincare inequalities; spectral gap; HolleyStroock perturbation results; logarithmic Sobolev inequalities; interpolation; perturbation; homogenization; two-scale convergence; minimizing sequences; defect of convergence; loss of compactness},
Number = {1},
Pages = {46-76},
Publisher = {SIAM},
Title = {Stochastic {S}tokes' Drift, Homogenized Functional Inequalities, and Large Time Behavior of Brownian Ratchets},
Url = {http://link.aip.org/link/?SJM/41/46/1},
Volume = {41},
Year = {2009},
Bdsk-Url-1 = {http://link.aip.org/link/?SJM/41/46/1},
Bdsk-Url-2 = {http://dx.doi.org/10.1137/080720322}}
@article{Benguria:2009sf,
Author = {Benguria, R. and Dolbeault, J. and Monneau, R.},
Date-Added = {2009-01-21 14:23:39 +0100},
Date-Modified = {2009-01-21 14:23:39 +0100},
Day = {01},
Journal = {Journal of Statistical Physics},
M3 = {10.1007/s10955-008-9662-4},
Month = {01},
Number = {1},
Pages = {27--51},
Title = {Harnack Inequalities and Discrete---Continuous Error Estimates for a Chain of Atoms with Two---Body Interactions},
Ty = {JOUR},
Url = {http://dx.doi.org/10.1007/s10955-008-9662-4},
Volume = {134},
Year = {2009},
Bdsk-Url-1 = {http://dx.doi.org/10.1007/s10955-008-9662-4}}
@article{MR2448650,
Author = {Dolbeault, Jean and Nazaret, Bruno and Savar{\'e}, Giuseppe},
Date-Added = {2009-01-12 12:41:12 +0100},
Date-Modified = {2009-01-12 12:41:12 +0100},
Fjournal = {Calculus of Variations and Partial Differential Equations},
Issn = {0944-2669},
Journal = {Calc. Var. Partial Differential Equations},
Mrclass = {49Q20 (58Exx 60A10)},
Mrnumber = {MR2448650},
Number = {2},
Pages = {193--231},
Title = {A new class of transport distances between measures},
Volume = {34},
Year = {2009}}
@article{DFL,
Author = {Dolbeault, Jean and Felmer, Patricio and Lewin, Mathieu},
Date-Added = {2009-03-24 12:45:14 +0000},
Date-Modified = {2009-03-24 12:47:51 +0000},
Journal = {Mathematical Models and Methods in Applied Sciences},
Number = {3},
Pages = {347--367},
Title = {Orbitally stable states in generalized {H}artree-{F}ock theory},
Volume = {19},
Year = {2009}}
@article{1751-8121-41-18-185303,
Abstract = {We consider a relativistic hydrogenic atom in a strong magnetic field. The ground-state level depends on the strength of the magnetic field and reaches the lower end of the spectral gap of the Dirac-Coulomb operator for a certain critical value, the critical magnetic field. We also define a critical magnetic field in a Landau level ansatz. In both cases, when the charge Z of the nucleus is not too small, these critical magnetic fields are huge when measured in tesla, but not so big when the equation is written in dimensionless form. When computed in the Landau level ansatz, orders of magnitude of the critical field are correct, as well as the dependence in Z. The computed value is however significantly too big for a large Z, and the wavefunction is not well approximated. Hence, accurate numerical computations involving the Dirac equation cannot systematically rely on the Landau level ansatz. Our approach is based on a scaling property. The critical magnetic field is characterized in terms of an equivalent eigenvalue problem. This is our main analytical result, and also the starting point of our numerical scheme.},
Author = {J Dolbeault and M Esteban and M Loss},
Date-Modified = {2008-04-29 07:55:31 -0600},
Journal = {Journal of Physics A: Mathematical and Theoretical},
Number = {18},
Pages = {185303 (13pp)},
Title = {Characterization of the critical magnetic field in the {D}irac-{C}oulomb equation},
Url = {http://stacks.iop.org/1751-8121/41/185303},
Volume = {41},
Year = {2008},
Bdsk-Url-1 = {http://stacks.iop.org/1751-8121/41/185303}}
@article{pre05312043,
author="Dolbeault, J. and Nazaret, B. and Savar\'e, G.",
title="{On the Bakry-Emery criterion for linear diffusions and weighted porous
media equations.}",
language="English",
journal="Commun. Math. Sci. ",
volume="6",
number="2",
pages="477-494",
year="2008",
abstract="{Summary: The goal of this paper is to give a non-local sufficient
condition for generalized Poincar\'e inequalities which extends the
well-known Bakry-Emery condition. Such generalized Poincar\'e inequalities
have been introduced by W. Beckner in the Gaussian case and provide, along
the Ornstein-Uhlenbeck flow, the exponential decay of some generalized
entropies which interpolate between the $L^2$ norm and the usual entropy.
Our criterion improves on results which, for instance, can be deduced from
the Bakry-Emery criterion and Holley-Stroock type perturbation results. In a
second step, we apply the same strategy to non-linear equations of porous
media type. This provides new interpolation inequalities and decay estimates
for the solutions of the evolution problem. The criterion is again a
non-local condition based on the positivity of the lowest eigenvalue of a
Schr\"odinger operator. In both cases, we relate the Fisher information with
its time derivative. Since the resulting criterion is non-local, it is
better adapted to potentials with, for instance, a non-quadratic growth at
infinity, or to unbounded perturbations of the potential.}",
keywords="{parabolic equations; diffusion; Ornstein-Uhlenbeck operator; porous
media; Poincar\'e inequality; logarithmic Sobolev inequality; convex Sobolev
inequality; interpolation; decay rate; entropy; free energy; Fisher
information}",
classmath="{*35B40 (Asymptotic behavior of solutions of PDE)
35K55 (Nonlinear parabolic equations)
39B62 (Systems of functional equations)
35J10 (Schroedinger operator)
35K20 (Second order parabolic equations, boundary value problems)
35K65 (Parabolic equations of degenerate type)
}",
}
@article{0743,
Author = {Dolbeault, Jean and Laptev, Ari and Loss, Michael},
Date-Modified = {2008-09-28 23:51:12 +0200},
Journal = {J. Eur. Math. Soc. (JEMS)},
Pages = {1121--1126},
Title = {{L}ieb-{T}hirring inequalities with improved constants},
Volume = {10},
Year = {2008}}
@article{0728,
Author = {Dolbeault, Jean and Schmeiser, Christian},
Date-Added = {2009-06-10 12:40:08 +0200},
Date-Modified = {2009-06-10 12:51:19 +0200},
Journal = {Discrete and Continuous Dynamical Systems},
Number = {1},
Pages = {109--121},
Title = {The two-dimensional {K}eller-{S}egel model after blow-up},
Volume = {25},
Year = {2009}}
@article{Blanchet:2009sf,
Author = {Blanchet, Adrien and Bonforte, Matteo and Dolbeault, Jean and Grillo, Gabriele and V{\'a}zquez, Juan Luis},
Date-Added = {2009-01-09 14:19:33 +0100},
Date-Modified = {2017-08-28 13:59:46 +0000},
Day = {01},
Journal = {Archive for Rational Mechanics and Analysis},
M3 = {10.1007/s00205-008-0155-z},
Month = {02},
Number = {2},
Pages = {347--385},
Title = {Asymptotics of the Fast Diffusion Equation via Entropy Estimates},
Ty = {JOUR},
Url = {http://dx.doi.org/10.1007/s00205-008-0155-z},
Volume = {191},
Year = {2009},
Bdsk-Url-1 = {http://dx.doi.org/10.1007/s00205-008-0155-z}}
@article {MR2437030,
AUTHOR = {Dolbeault, Jean and Esteban, Maria J. and Tarantello,
Gabriella},
TITLE = {The role of {O}nofri type inequalities in the symmetry
properties of extremals for {C}affarelli-{K}ohn-{N}irenberg
inequalities, in two space dimensions},
JOURNAL = {Ann. Sc. Norm. Super. Pisa Cl. Sci. (5)},
FJOURNAL = {Annali della Scuola Normale Superiore di Pisa. Classe di
Scienze. Serie V},
VOLUME = {7},
YEAR = {2008},
NUMBER = {2},
PAGES = {313--341},
ISSN = {0391-173X},
MRCLASS = {46E35 (35A25)},
MRNUMBER = {MR2437030},
}
@article{MR2366398,
Author = {Dolbeault, Jean and Gentil, Ivan and Guillin, Arnaud and Wang, Feng-Yu},
Coden = {POANE2},
Date-Added = {2008-03-30 12:04:35 +0200},
Date-Modified = {2008-03-30 12:04:35 +0200},
Fjournal = {Potential Analysis. An International Journal Devoted to the Interactions between Potential Theory, Probability Theory, Geometry and Functional Analysis},
Issn = {0926-2601},
Journal = {Potential Anal.},
Mrclass = {35K57 (46E27 46E35 60E15)},
Mrnumber = {MR2366398},
Number = {1},
Pages = {35--59},
Title = {{$L\sp q$}-functional inequalities and weighted porous media equations},
Volume = {28},
Year = {2008}}
@article{MR2379440,
Author = {Bosi, Roberta and Dolbeault, Jean and Esteban, Maria J.},
Date-Added = {2008-07-04 21:50:49 +0200},
Date-Modified = {2008-07-04 21:50:49 +0200},
Fjournal = {Communications on Pure and Applied Analysis},
Issn = {1534-0392},
Journal = {Commun. Pure Appl. Anal.},
Mrclass = {35P15 (35Q40 46E35 81V45 81V55)},
Mrnumber = {MR2379440},
Number = {3},
Pages = {533--562},
Title = {Estimates for the optimal constants in multipolar {H}ardy inequalities for {S}chr\"odinger and {D}irac operators},
Volume = {7},
Year = {2008}}
@article{DDEV,
Abstract = { We prove some Hardy type inequalities related to the Dirac operator by elementary methods, for a large class of potentials, which even includes measure valued potentials. Optimality is achieved by the Coulomb potential. When potentials are smooth enough, our estimates provide some spectral information on the operator.},
Author = {Dolbeault, Jean and Esteban, Maria J. and Duoandikoetxea, Javier and Vega, Luis},
Date-Added = {2008-05-21 20:53:44 +0200},
Date-Modified = {2008-05-21 20:53:44 +0200},
Journal = {Annales Scientifiques de l'{\'E}cole Normale Sup{\'e}rieure},
Number = {6},
Pages = {885--900},
Title = {{H}ardy-type estimates for {D}irac operators},
Ty = {JOUR},
Url = {http://www.sciencedirect.com/science/article/B6VKH-4SHGSWW-2/1/936c56697e1fd7ebd10097acc1e6cdb4},
Volume = {40},
Year = {2007},
Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/B6VKH-4SHGSWW-2/1/936c56697e1fd7ebd10097acc1e6cdb4}}
@article{0650,
Author = {Dolbeault, Jean and Fern{\'a}ndez, Javier},
Date-Added = {2008-11-01 23:19:14 +0100},
Date-Modified = {2014-09-05 06:38:36 +0000},
Journal = {Annales de l'Institut Henri Poincar{\'e} (C) Non Linear Analysis},
Keywords = {Stellar dynamics; Gravitation; Mass; Rotation; Angular velocity; Entropy; Diffusion limit; Drift-diffusion; Hardy-Littlewood-Sobolev inequality; Bounded solutions; Minimization; Solutions with compact support; Radial solutions; Localized minimizers},
Number = {6},
Pages = {1043--1071},
Title = {Localized minimizers of flat rotating gravitational systems},
Ty = {JOUR},
Url = {http://www.sciencedirect.com/science/article/B6VKB-4P6VDVB-4/2/428cd0d7afb024f66d58d2a8debd0070},
Volume = {25},
Year = {2008},
Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/B6VKB-4P6VDVB-4/2/428cd0d7afb024f66d58d2a8debd0070}}
@article {MR2320246,
AUTHOR = {Blanchet, Adrien and Bonforte, Matteo and Dolbeault, Jean and
Grillo, Gabriele and V{\'a}zquez, Juan-Luis},
TITLE = {Hardy-{P}oincar\'e inequalities and applications to nonlinear
diffusions},
JOURNAL = {C. R. Math. Acad. Sci. Paris},
FJOURNAL = {Comptes Rendus Math\'ematique. Acad\'emie des Sciences. Paris},
VOLUME = {344},
YEAR = {2007},
NUMBER = {7},
PAGES = {431--436},
ISSN = {1631-073X},
MRCLASS = {35K57 (26D15 35B45)},
MRNUMBER = {MR2320246 (2008b:35141)},
}
@article{DFM06,
Abstract = {Abstract.~~Interpolation inequalities of Gagliardo-Nirenberg type and compactness results for self-adjoint trace-class operators with finite kinetic energy are established. Applying these results to the minimization of various free energy functionals, we determine for instance stationary states of the Hartree problem with temperature corresponding to various statistics. },
Author = {Dolbeault, J. and Felmer, P. and Mayorga-Zambrano, J.},
Date-Added = {2008-09-30 19:51:01 +0100},
Date-Modified = {2008-11-14 18:47:37 -0300},
Journal = {Monatshefte f{\"u}r Mathematik},
M3 = {10.1007/s00605-008-0533-5},
Number = {1},
Pages = {43--66},
Title = {Compactness properties for trace-class operators and applications to quantum mechanics},
Ty = {JOUR},
Url = {http://dx.doi.org/10.1007/s00605-008-0533-5},
Volume = {155},
Year = {2008},
Bdsk-Url-1 = {http://dx.doi.org/10.1007/s00605-008-0533-5}}
@article {MR2333781,
AUTHOR = {Dolbeault, Jean and Esteban, Maria J. and Loss, Michael},
TITLE = {Relativistic hydrogenic atoms in strong magnetic fields},
JOURNAL = {Ann. Henri Poincar\'e},
FJOURNAL = {Annales Henri Poincar\'e. A Journal of Theoretical and
Mathematical Physics},
VOLUME = {8},
YEAR = {2007},
NUMBER = {4},
PAGES = {749--779},
ISSN = {1424-0637},
MRCLASS = {81V45 (81V10)},
MRNUMBER = {MR2333781},
}
@article{DoKa06,
Author = {Dolbeault, Jean and Karch, Grzegorz},
Date-Added = {2007-01-12 19:23:29 +0100},
Date-Modified = {2007-01-12 19:24:31 +0100},
Journal = {Banach Center Publ.},
Pages = {133--147},
Title = {Large time behaviour of solutions to nonhomogeneous diffusion equations},
Volume = {74},
Year = {2006}}
@article{MR2226917,
Author = {Blanchet, Adrien and Dolbeault, Jean and Perthame, Beno\^{\i}t},
Date-Added = {2019-09-02 13:08:15 +0200},
Date-Modified = {2019-09-02 13:08:38 +0200},
Fjournal = {Electronic Journal of Differential Equations},
Issn = {1072-6691},
Journal = {Electron. J. Differential Equations},
Mrclass = {35Q80 (35B45 35D05 92C17)},
Mrnumber = {2226917},
Mrreviewer = {Roberto Natalini},
Pages = {1--33},
Title = {Two-dimensional {K}eller-{S}egel model: optimal critical mass and qualitative properties of the solutions},
Volume = {44},
Year = {2006}}
@article{BDIK,
Author = {Bartier, Jean-Philippe and Dolbeault, Jean and Illner, Reinhard and Kowalczyk, Micha{\l}},
Date-Added = {2007-03-29 19:18:59 +0200},
Date-Modified = {2008-09-11 12:37:55 +0200},
Journal = {Math. Models Methods Appl. Sci.},
Number = {3},
Pages = {327--362},
Title = {A qualitative study of linear drift-diffusion equations with time-dependent or degenerate coefficients},
Volume = {17},
Year = {2007}}
@article {MR2239275,
AUTHOR = {Dolbeault, Jean and Esteban, Maria J. and S{\'e}r{\'e}, Eric},
TITLE = {General results on the eigenvalues of operators with gaps,
arising from both ends of the gaps. {A}pplication to {D}irac
operators},
JOURNAL = {J. Eur. Math. Soc. (JEMS)},
FJOURNAL = {Journal of the European Mathematical Society (JEMS)},
VOLUME = {8},
YEAR = {2006},
NUMBER = {2},
PAGES = {243--251},
ISSN = {1435-9855},
MRCLASS = {47B25 (35P05 35Q40 47A75 49R50)},
MRNUMBER = {MR2239275},
}
@unpublished{050b,
Author = {Carrillo, Jose A. and Dolbeault, Jean and Gentil, Ivan and J{\"u}ngel, Ansgar},
Date = {2006},
Note = {Published online},
Title = {Erratum on``{E}ntropy-energy inequalities and improved convergence rates for nonlinear parabolic equations"}}
@article {MR2224869,
AUTHOR = {Carrillo, Jos{\'e} A. and Dolbeault, Jean and Gentil, Ivan and
J{\"u}ngel, Ansgar},
TITLE = {Entropy-energy inequalities and improved convergence rates for
nonlinear parabolic equations},
JOURNAL = {Discrete Contin. Dyn. Syst. Ser. B},
FJOURNAL = {Discrete and Continuous Dynamical Systems. Series B. A Journal
Bridging Mathematics and Sciences},
VOLUME = {6},
YEAR = {2006},
NUMBER = {5},
PAGES = {1027--1050 (electronic)},
ISSN = {1531-3492},
MRCLASS = {35K55 (35B40 35K15 76A20 76D08)},
MRNUMBER = {MR2224869},
}
@article{0538,
Abstract = {Abstract~~Kinetic transport equations with a given confining potential and non-linear relaxation type collision operators are considered. General (monotone) energy dependent equilibrium distributions are allowed with a chemical potential ensuring mass conservation. Existence and uniqueness of solutions is proved for initial data bounded by equilibrium distributions. The diffusive macroscopic limit is carried out using compensated compactness theory. The results are drift-diffusion equations with non linear diffusion. The most notable examples are of the form $$\partial_t \rho=\nabla\cdot (\nabla \rho^m + \rho\,\nabla V)$$ , ranging from porous medium equations to fast diffusion, with the exponent satisfying $$0 $${\mathbb{R}}^3$$ . },
Author = {Dolbeault, Jean and Markowich, Peter and Oelz, Dietmar and Schmeiser, Christian},
Date-Added = {2007-10-12 10:52:17 +0200},
Date-Modified = {2007-10-12 10:52:17 +0200},
Journal = {Archive for Rational Mechanics and Analysis},
M3 = {10.1007/s00205-007-0049-5},
Number = {1},
Pages = {133--158},
Title = {Non linear Diffusions as Limit of Kinetic Equations with Relaxation Collision Kernels},
Ty = {JOUR},
Url = {http://dx.doi.org/10.1007/s00205-007-0049-5},
Volume = {186},
Year = {2007}}
@article{0528,
Author = { Arnold, Anton and Bartier, Jean-Philippe and Dolbeault, Jean},
Date-Added = {2007-12-22 15:16:09 +0100},
Date-Modified = {2007-12-22 15:18:28 +0100},
Journal = {Communications in Mathematical Sciences},
Month = {December},
Number = {4},
Pages = {971--979},
Title = {Interpolation between logarithmic {S}obolev and {P}oincar{{\'e}} inequalities},
Volume = {5},
Year = {2007}}
@article {MR2253013,
AUTHOR = {Dolbeault, J. and Felmer, P. and Loss, M. and Paturel, E.},
TITLE = {Lieb-{T}hirring type inequalities and {G}agliardo-{N}irenberg
inequalities for systems},
JOURNAL = {J. Funct. Anal.},
FJOURNAL = {Journal of Functional Analysis},
VOLUME = {238},
YEAR = {2006},
NUMBER = {1},
PAGES = {193--220},
ISSN = {0022-1236},
CODEN = {JFUAAW},
MRCLASS = {35J10 (35B45 47F05 81Q10)},
MRNUMBER = {MR2253013},
}
@article{0523,
Author = {Dolbeault, Jean and Fern{\'a}ndez, Javier and S{\'a}nchez, {\'O}scar},
Date-Added = {2007-01-23 18:40:40 +0100},
Date-Modified = {2007-01-23 18:42:59 +0100},
Journal = {Communications in Partial Differential Equations},
Pages = {1425--1449},
Title = {Stability for the gravitational {V}lasov--{P}oisson system in dimension two},
Volume = {31},
Year = {2006}}
@article {MR2201954,
AUTHOR = {Bartier, Jean-Philippe and Dolbeault, Jean},
TITLE = {Convex {S}obolev inequalities and spectral gap},
JOURNAL = {C. R. Math. Acad. Sci. Paris},
FJOURNAL = {Comptes Rendus Math\'ematique. Acad\'emie des Sciences. Paris},
VOLUME = {342},
YEAR = {2006},
NUMBER = {5},
PAGES = {307--312},
ISSN = {1631-073X},
MRCLASS = {26D10 (28A12 31C45 35J60 47D07)},
MRNUMBER = {MR2201954},
}
@article{050a,
Author = {Adrien Blanchet and Jean Dolbeault and R{\'e}gis Monneau},
Date-Added = {2010-09-13 09:12:59 +0200},
Date-Modified = {2010-09-13 09:16:50 +0200},
Doi = {DOI: 10.1016/j.matpur.2010.07.002},
Issn = {0021-7824},
Journal = {{Journal de Math{\'e}matiques Pures et Appliqu{\'e}s}},
Keywords = {A priori estimates},
Pages = {447--449},
Title = {Erratum to \emph{On the continuity of the time derivative of the solution to the parabolic obstacle problem with variable coefficients}: [{J. Math. Pures Appl.} 85 (3) (2006) 371-414]},
Url = {http://www.sciencedirect.com/science/article/B6VMD-50XTT6K-1/2/f88a898b44aa56cfb83bc56b2e7d45ac},
Volume = {94},
Year = {2010},
Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/B6VMD-50XTT6K-1/2/f88a898b44aa56cfb83bc56b2e7d45ac},
Bdsk-Url-2 = {http://dx.doi.org/10.1016/j.matpur.2010.07.002}}
@article {MR2210082,
AUTHOR = {Blanchet, Adrien and Dolbeault, Jean and Monneau, R{\'e}gis},
TITLE = {On the continuity of the time derivative of the solution to
the parabolic obstacle problem with variable coefficients},
JOURNAL = {J. Math. Pures Appl. (9)},
FJOURNAL = {Journal de Math\'ematiques Pures et Appliqu\'ees. Neuvi\`eme
S\'erie},
VOLUME = {85},
YEAR = {2006},
NUMBER = {3},
PAGES = {371--414},
ISSN = {0021-7824},
CODEN = {JMPAAM},
MRCLASS = {35R35 (35B65 35K20 91B28)},
MRNUMBER = {MR2210082 (2007a:35161)},
MRREVIEWER = {Paolo Tilli},
}
@incollection {MR2176699,
AUTHOR = {Blanchet, A. and Dolbeault, J. and Monneau, R.},
TITLE = {On the one-dimensional parabolic obstacle problem with
variable coefficients},
BOOKTITLE = {Elliptic and parabolic problems},
SERIES = {Progr. Nonlinear Differential Equations Appl.},
VOLUME = {63},
PAGES = {59--66},
PUBLISHER = {Birkh\"auser},
ADDRESS = {Basel},
YEAR = {2005},
MRCLASS = {35R35 (35B40 35K20)},
MRNUMBER = {MR2176699 (2006e:35346)},
}
@article {MR2103197,
AUTHOR = {Dolbeault, Jean and Perthame, Beno{\^{\i}}t},
TITLE = {Optimal critical mass in the two-dimensional {K}eller-{S}egel
model in {$\mathbb R\sp 2$}},
JOURNAL = {C. R. Math. Acad. Sci. Paris},
FJOURNAL = {Comptes Rendus Math\'ematique. Acad\'emie des Sciences. Paris},
VOLUME = {339},
YEAR = {2004},
NUMBER = {9},
PAGES = {611--616},
ISSN = {1631-073X},
MRCLASS = {35K57 (35K45 92E20)},
MRNUMBER = {MR2103197 (2005h:35189)},
}
@article {MR2219352,
AUTHOR = {Dolbeault, Jean and Gentil, Ivan and J{\"u}ngel, Ansgar},
TITLE = {A logarithmic fourth-order parabolic equation and related
logarithmic {S}obolev inequalities},
JOURNAL = {Commun. Math. Sci.},
FJOURNAL = {Communications in Mathematical Sciences},
VOLUME = {4},
YEAR = {2006},
NUMBER = {2},
PAGES = {275--290},
ISSN = {1539-6746},
MRCLASS = {35K55 (35B40 35K35)},
MRNUMBER = {MR2219352},
}
@article {MR2152502,
AUTHOR = {Arnold, Anton and Dolbeault, Jean},
TITLE = {Refined convex {S}obolev inequalities},
JOURNAL = {J. Funct. Anal.},
FJOURNAL = {Journal of Functional Analysis},
VOLUME = {225},
YEAR = {2005},
NUMBER = {2},
PAGES = {337--351},
ISSN = {0022-1236},
CODEN = {JFUAAW},
MRCLASS = {26D15 (46E35)},
MRNUMBER = {MR2152502 (2006f:26030)},
MRREVIEWER = {Ji{\v{r}}{\'{\i}} R{\'a}kosn{\'{\i}}k},
}
@article {MR2106099,
AUTHOR = {Dolbeault, Jean and Felmer, Patricio and Monneau, R{\'e}gis},
TITLE = {Symmetry and nonuniformly elliptic operators},
JOURNAL = {Differential Integral Equations},
FJOURNAL = {Differential and Integral Equations. An International Journal
for Theory \& Applications},
VOLUME = {18},
YEAR = {2005},
NUMBER = {2},
PAGES = {141--154},
ISSN = {0893-4983},
MRCLASS = {35J60 (35A30)},
MRNUMBER = {MR2106099 (2005j:35055)},
MRREVIEWER = {Alexandra Kurepa},
}
@article{DF2007,
Author = {Dolbeault, Jean and Flores, Isabel},
Date-Added = {2007-05-15 15:01:59 +0200},
Date-Modified = {2007-05-15 15:03:00 +0200},
Journal = {Trans. Amer. Math. Soc.},
Pages = {4073--4087},
Title = {Geometry of phase space and solutions of semilinear elliptic equations in a ball},
Volume = {359},
Year = {2007}}
@incollection {MR2091668,
AUTHOR = {del Pino, Manuel and Dolbeault, Jean and Musso, Monica},
TITLE = {Duality in sub-supercritical bubbling in the
{B}rezis-{N}irenberg problem near the critical exponent},
BOOKTITLE = {Partial differential equations and inverse problems},
SERIES = {Contemp. Math.},
VOLUME = {362},
PAGES = {339--350},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {2004},
MRCLASS = {35J20 (35B32 35J65)},
MRNUMBER = {MR2091668 (2005h:35062)},
MRREVIEWER = {Paola Magrone},
}
@article{MR2065020,
Author = {Arnold, A. and Carrillo, J. A. and Desvillettes, L. and
Dolbeault, J. and J{\"u}ngel, A. and Lederman, C. and
Markowich, P. A. and Toscani, G. and Villani, C.},
Coden = {MNMTA2},
Date-Added = {2006-12-21 18:03:45 +0100},
Date-Modified = {2006-12-21 18:03:45 +0100},
Fjournal = {Monatshefte f\"ur Mathematik},
Issn = {0026-9255},
Journal = {Monatsh. Math.},
Mrclass = {35K55 (35B25 76P05 82B40 82C22)},
Mrnumber = {MR2065020 (2005a:35123)},
Number = {1-2},
Pages = {35--43},
Title = {Entropies and equilibria of many-particle systems: an essay on
recent research},
Volume = {142},
Year = {2004}}
@article {MR2217591,
AUTHOR = {del Pino, Manuel and Dolbeault, Jean and Musso, Monica},
TITLE = {Multiple bubbling for the exponential nonlinearity in the
slightly supercritical case},
JOURNAL = {Commun. Pure Appl. Anal.},
FJOURNAL = {Communications on Pure and Applied Analysis},
VOLUME = {5},
YEAR = {2006},
NUMBER = {3},
PAGES = {463--482},
ISSN = {1534-0392},
MRCLASS = {35J60 (34B15 34C23 35B25 35B32 35B40 35P30 47J15)},
MRNUMBER = {MR2217591},
}
@incollection {MR2091497,
AUTHOR = {Dolbeault, Jean and Kinderlehrer, David and Kowalczyk,
Micha{\l}},
TITLE = {Remarks about the flashing rachet},
BOOKTITLE = {Partial differential equations and inverse problems},
SERIES = {Contemp. Math.},
VOLUME = {362},
PAGES = {167--175},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {2004},
MRCLASS = {35K50 (28D20 35B10 35R05)},
MRNUMBER = {MR2091497 (2006j:35108)},
MRREVIEWER = {Roberto Natalini},
}
@article {MR2103187,
AUTHOR = {del Pino, Manuel and Dolbeault, Jean and Musso, Monica},
TITLE = {The {B}rezis-{N}irenberg problem near criticality in dimension
3},
JOURNAL = {J. Math. Pures Appl. (9)},
FJOURNAL = {Journal de Math\'ematiques Pures et Appliqu\'ees. Neuvi\`eme
S\'erie},
VOLUME = {83},
YEAR = {2004},
NUMBER = {12},
PAGES = {1405--1456},
ISSN = {0021-7824},
CODEN = {JMPAAM},
MRCLASS = {35J65 (35J20 35J25 47J30)},
MRNUMBER = {MR2103187 (2005h:35123)},
MRREVIEWER = {Vicen{\c{t}}iu R{\u{a}}dulescu},
}
@article {MR2094386,
AUTHOR = {Benguria, Rafael D. and Catto, Isabelle and Dolbeault, Jean
and Monneau, R{\'e}gis},
TITLE = {Oscillating minimizers of a fourth-order problem invariant
under scaling},
JOURNAL = {J. Differential Equations},
FJOURNAL = {Journal of Differential Equations},
VOLUME = {205},
YEAR = {2004},
NUMBER = {1},
PAGES = {253--269},
ISSN = {0022-0396},
CODEN = {JDEQAK},
MRCLASS = {49J05 (34A40)},
MRNUMBER = {MR2094386 (2005g:49003)},
MRREVIEWER = {Corneliu Ursescu},
}
@article {MR2091354,
AUTHOR = {Dolbeault, Jean and Esteban, Maria J. and Loss, Michael and
Vega, Luis},
TITLE = {An analytical proof of {H}ardy-like inequalities related to
the {D}irac operator},
JOURNAL = {J. Funct. Anal.},
FJOURNAL = {Journal of Functional Analysis},
VOLUME = {216},
YEAR = {2004},
NUMBER = {1},
PAGES = {1--21},
ISSN = {0022-1236},
CODEN = {JFUAAW},
MRCLASS = {35Q40 (26D15 34L40 35P05 47N50 81Q10 81V45)},
MRNUMBER = {MR2091354 (2005h:35291)},
MRREVIEWER = {Alberto Fiorenza},
}
@article {MR2065022,
AUTHOR = {del Pino, Manuel and Dolbeault, Jean and Musso, Monica},
TITLE = {A phase plane analysis of the ``multi-bubbling'' phenomenon in
some slightly supercritical equations},
JOURNAL = {Monatsh. Math.},
FJOURNAL = {Monatshefte f\"ur Mathematik},
VOLUME = {142},
YEAR = {2004},
NUMBER = {1-2},
PAGES = {57--79},
ISSN = {0026-9255},
CODEN = {MNMTA2},
MRCLASS = {35J60 (34C23 35B25 35P30 58E05)},
MRNUMBER = {MR2065022 (2005h:35103)},
MRREVIEWER = {Florin Iacob},
}
@article{MR2038342,
Author = {Dolbeault, Jean and S{\'a}nchez, {\'O}scar and Soler, Juan},
Date-Added = {2006-12-21 18:03:45 +0100},
Date-Modified = {2006-12-21 18:03:45 +0100},
Fjournal = {Archive for Rational Mechanics and Analysis},
Issn = {0003-9527},
Journal = {Arch. Ration. Mech. Anal.},
Mrclass = {35Q99 (35B40 85A25)},
Mrnumber = {MR2038342 (2006a:35293)},
Mrreviewer = {Yuxi Zheng},
Number = {3},
Pages = {301--327},
Title = {Asymptotic behaviour for the {V}lasov-{P}oisson system in the
stellar-dynamics case},
Volume = {171},
Year = {2004}}
@article {MR2127996,
AUTHOR = {Dolbeault, Jean and Escobedo, Miguel},
TITLE = {{$L\sp 1$} and {$L\sp \infty$} intermediate asymptotics for
scalar conservation laws},
JOURNAL = {Asymptot. Anal.},
FJOURNAL = {Asymptotic Analysis},
VOLUME = {41},
YEAR = {2005},
NUMBER = {3-4},
PAGES = {189--213},
ISSN = {0921-7134},
CODEN = {ASANEZ},
MRCLASS = {35L65 (35B40)},
MRNUMBER = {MR2127996 (2006i:35233)},
MRREVIEWER = {Andrea Marson},
}
@techreport{0244,
Author = {Dolbeault, Jean and Kinderlehrer, David and Kowalczyk, Michal},
Date-Added = {2007-02-04 20:54:56 +0100},
Date-Modified = {2008-12-21 09:52:31 +0100},
Institution = {Ceremade no. 0244},
Title = {The flashing ratchet: long time behavior and dynamical systems interpretation},
Type = {Technical report},
Year = {2002}}
@article{MR2053885,
Author = {Del Pino, Manuel and Dolbeault, Jean and Gentil, Ivan},
Coden = {JMANAK},
Date-Added = {2006-12-21 18:03:45 +0100},
Date-Modified = {2006-12-21 18:03:45 +0100},
Fjournal = {Journal of Mathematical Analysis and Applications},
Issn = {0022-247X},
Journal = {J. Math. Anal. Appl.},
Mrclass = {35K55 (35D05 35K15 47D06)},
Mrnumber = {MR2053885 (2005i:35130)},
Mrreviewer = {Dario Cordero-Erausquin},
Number = {2},
Pages = {375--388},
Title = {Nonlinear diffusions, hypercontractivity and the optimal
{$L\sp p$}-{E}uclidean logarithmic {S}obolev inequality},
Volume = {293},
Year = {2004}}
@article{MR2069937,
Author = {Dolbeault, Jean and Illner, Reinhard},
Date-Added = {2006-12-21 18:03:45 +0100},
Date-Modified = {2006-12-21 18:03:45 +0100},
Fjournal = {Communications in Mathematical Sciences},
Issn = {1539-6746},
Journal = {Commun. Math. Sci.},
Mrclass = {90B20 (35B40 35K55 60J60 60J70)},
Mrnumber = {MR2069937 (2005f:90024)},
Mrreviewer = {Sabir Umarov},
Number = {3},
Pages = {409--421},
Title = {Entropy methods for kinetic models of traffic flow},
Volume = {1},
Year = {2003}}
@techreport{0225,
Author = {Dolbeault, Jean and Esteban, Maria J. and S{\'e}r{\'e}, Eric},
Date-Added = {2007-02-04 20:54:56 +0100},
Date-Modified = {2008-11-16 16:48:00 -0300},
Institution = {S{\'e}minaire {E}quations aux {D}{\'e}riv{\'e}es {P}artielles de l'{E}cole {P}olytechnique no. {XVIII}},
Title = {About a non-homogeneous {H}ardy inequality and its relation with the spectrum of {D}irac operators},
Type = {Technical report},
Url = {http://sedp.cedram.org/item?id=SEDP_2001-2002____A18_0},
Year = {2002},
Bdsk-Url-1 = {http://sedp.cedram.org/item?id=SEDP_2001-2002____A18_0}}
@article{MR1998635,
Author = {Del Pino, Manuel and Dolbeault, Jean and Musso, Monica},
Coden = {JDEQAK},
Date-Added = {2006-12-21 18:03:45 +0100},
Date-Modified = {2006-12-21 18:03:45 +0100},
Fjournal = {Journal of Differential Equations},
Issn = {0022-0396},
Journal = {J. Differential Equations},
Mrclass = {35J60 (34E20 35B05 47J15)},
Mrnumber = {MR1998635 (2004h:35077)},
Mrreviewer = {Zhi Ren Jin},
Number = {2},
Pages = {280--306},
Title = {``{B}ubble-tower'' radial solutions in the slightly
supercritical {B}rezis-{N}irenberg problem},
Volume = {193},
Year = {2003}}
@article{MR1990978,
Author = {Dolbeault, Jean and Monneau, R{\'e}gis},
Date-Added = {2006-12-21 18:03:45 +0100},
Date-Modified = {2006-12-21 18:03:45 +0100},
Fjournal = {Annali della Scuola Normale Superiore di Pisa. Classe di
Scienze. Serie V},
Issn = {0391-173X},
Journal = {Ann. Sc. Norm. Super. Pisa Cl. Sci. (5)},
Mrclass = {35J60 (35B45 35R35)},
Mrnumber = {MR1990978 (2004i:35100)},
Mrreviewer = {Andrzej Swiech},
Number = {1},
Pages = {181--197},
Title = {On a {L}iouville type theorem for isotropic homogeneous fully
nonlinear elliptic equations in dimension two},
Volume = {2},
Year = {2003}}
@article{MR2042214,
Author = { Carrillo, J. A. and Dolbeault, J. and Markowich, P. A. and Sparber, C.},
Coden = {MNMTA2},
Date-Added = {2006-12-21 18:03:45 +0100},
Date-Modified = {2006-12-24 12:27:20 +0100},
Fjournal = {Monatshefte f\"ur Mathematik},
Issn = {0026-9255},
Journal = {Monatsh. Math.},
Mrclass = {82C31 (35B40 35Q40 82C10)},
Mrnumber = {MR2042214 (2005f:82090)},
Mrreviewer = {Jacek Polewczak},
Number = {3},
Pages = {237--257},
Title = {On the long-time behavior of the quantum {F}okker-{P}lanck
equation},
Volume = {141},
Year = {2004}}
@article{IJQC,
Author = {Dolbeault, Jean and Esteban, Maria J. and S{\'e}r{\'e}, Eric},
Date-Added = {2007-02-10 18:19:27 +0100},
Date-Modified = {2007-02-10 18:20:49 +0100},
Journal = {International Journal of Quantum Chemistry},
Pages = {149--155},
Title = {A variational method for relativistic computations in atomic and molecular physics},
Volume = {93},
Year = {2003}}
@incollection{MR2008389,
Address = {Amsterdam},
Author = {Desclaux, J. P. and Dolbeault, J. and Esteban, M. J. and
Indelicato, P. and S{\'e}r{\'e}, E.},
Booktitle = {Handbook of numerical analysis, Vol. X},
Date-Added = {2006-12-21 18:03:45 +0100},
Date-Modified = {2006-12-21 18:03:45 +0100},
Mrclass = {81V55 (81-08)},
Mrnumber = {MR2008389},
Pages = {453--483},
Publisher = {North-Holland},
Series = {Handb. Numer. Anal., X},
Title = {Computational approaches of relativistic models in quantum
chemistry},
Year = {2003}}
@article{MR1994744,
Author = {Ben Abdallah, Naoufel and Dolbeault, Jean},
Date-Added = {2006-12-21 18:03:45 +0100},
Date-Modified = {2006-12-21 18:03:45 +0100},
Fjournal = {Archive for Rational Mechanics and Analysis},
Issn = {0003-9527},
Journal = {Arch. Ration. Mech. Anal.},
Mrclass = {82C40 (35F25 76P05)},
Mrnumber = {MR1994744 (2004g:82109)},
Mrreviewer = {Laurent E. Gosse},
Number = {4},
Pages = {253--298},
Title = {Relative entropies for kinetic equations in bounded domains
(irreversibility, stationary solutions, uniqueness)},
Volume = {168},
Year = {2003}}
@article{MR1951784,
Author = {C{\'a}ceres, Mar{\'{\i}}a J. and Carrillo, Jos{\'e} A. and
Dolbeault, Jean},
Date-Added = {2006-12-21 18:03:45 +0100},
Date-Modified = {2006-12-21 18:03:45 +0100},
Fjournal = {SIAM Journal on Mathematical Analysis},
Issn = {0036-1410},
Journal = {SIAM J. Math. Anal.},
Mrclass = {35B35 (35D05 35F20 76X05 82C40 82D10 82D37)},
Mrnumber = {MR1951784 (2003j:35026)},
Mrreviewer = {R. Glassey},
Number = {2},
Pages = {478--494 (electronic)},
Title = {Nonlinear stability in {$L\sp p$} for a confined system of
charged particles},
Volume = {34},
Year = {2002}}
@article{MR1892935,
Author = {Del Pino, Manuel and Dolbeault, Jean},
Date-Added = {2006-12-21 18:03:45 +0100},
Date-Modified = {2006-12-21 18:03:45 +0100},
Fjournal = {Comptes Rendus Math\'ematique. Acad\'emie des Sciences. Paris},
Issn = {1631-073X},
Journal = {C. R. Math. Acad. Sci. Paris},
Mrclass = {35K55 (26D10 46E35)},
Mrnumber = {MR1892935 (2003a:35096)},
Number = {5},
Pages = {365--370},
Title = {Nonlinear diffusions and optimal constants in {S}obolev type
inequalities: asymptotic behaviour of equations involving the
{$p$}-{L}aplacian},
Volume = {334},
Year = {2002}}
@techreport{010a,
Author = {Cid, Carlos and Dolbeault, Jean},
Date-Added = {2007-02-04 21:24:31 +0100},
Date-Modified = {2008-12-21 09:52:56 +0100},
Institution = {Ceremade no. 010a},
Title = {Defocusing nonlinear {S}chr{{\"o}}dinger equation: confinement, stability and asymptotic stability},
Type = {Technical report},
Year = {2001}}
@article{MR1995793,
Author = {Del Pino, Manuel and Dolbeault, Jean},
Date-Added = {2006-12-21 18:03:45 +0100},
Date-Modified = {2006-12-21 18:03:45 +0100},
Fjournal = {Mathematical Research Letters},
Issn = {1073-2780},
Journal = {Math. Res. Lett.},
Mrclass = {35K57 (35B40)},
Mrnumber = {MR1995793 (2004f:35099)},
Number = {4},
Pages = {551--557},
Title = {Asymptotic behavior of nonlinear diffusions},
Volume = {10},
Year = {2003}}
@article{MR1957678,
Author = {Del Pino, Manuel and Dolbeault, Jean},
Coden = {JFUAAW},
Date-Added = {2006-12-21 18:03:45 +0100},
Date-Modified = {2006-12-21 18:03:45 +0100},
Fjournal = {Journal of Functional Analysis},
Issn = {0022-1236},
Journal = {J. Funct. Anal.},
Mrclass = {35J85 (35J20 46E35 49J10)},
Mrnumber = {MR1957678 (2004a:35091)},
Mrreviewer = {Tonia Ricciardi},
Number = {1},
Pages = {151--161},
Title = {The optimal {E}uclidean {$L\sp p$}-{S}obolev logarithmic
inequality},
Volume = {197},
Year = {2003}}
@article{MR1940370,
Author = {Del Pino, Manuel and Dolbeault, Jean},
Coden = {JMPAAM},
Date-Added = {2006-12-21 18:03:45 +0100},
Date-Modified = {2006-12-21 18:03:45 +0100},
Fjournal = {Journal de Math\'ematiques Pures et Appliqu\'ees. Neuvi\`eme
S\'erie},
Issn = {0021-7824},
Journal = {J. Math. Pures Appl. (9)},
Mrclass = {35J20 (35J85 35K57 46E35 49J40)},
Mrnumber = {MR1940370 (2003h:35051)},
Mrreviewer = {Siegfried Carl},
Number = {9},
Pages = {847--875},
Title = {Best constants for {G}agliardo-{N}irenberg inequalities and
applications to nonlinear diffusions},
Volume = {81},
Year = {2002}}
@article{MR1939090,
Author = {Dolbeault, Jean and Monneau, R{\'e}gis},
Date-Added = {2006-12-24 14:27:22 +0100},
Date-Modified = {2006-12-24 14:27:22 +0100},
Fjournal = {Annales de l'Institut Henri Poincar\'e. Analyse Non Lin\'eaire},
Issn = {0294-1449},
Journal = {Ann. Inst. H. Poincar\'e Anal. Non Lin\'eaire},
Mrclass = {35J60 (35J25 35R35)},
Mrnumber = {MR1939090 (2003i:35086)},
Mrreviewer = {Enrico Valdinoci},
Number = {6},
Pages = {903--926},
Title = {Convexity estimates for nonlinear elliptic equations and application to free boundary problems},
Volume = {19},
Year = {2002}}
@article{MR1938658,
Author = {Balabane, Mikha{\"e}l and Dolbeault, Jean and Ounaies, Hichem},
Coden = {NOANDD},
Date-Added = {2006-12-21 18:03:45 +0100},
Date-Modified = {2006-12-21 18:03:45 +0100},
Fjournal = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal. Series A: Theory and
Methods},
Issn = {0362-546X},
Journal = {Nonlinear Anal.},
Mrclass = {35J60 (35B05 35B40)},
Mrnumber = {MR1938658 (2003h:35062)},
Mrreviewer = {Shi Jin Ding},
Number = {1},
Pages = {219--237},
Title = {Nodal solutions for a sublinear elliptic equation},
Volume = {52},
Year = {2003}}
@article{MR1920255,
Author = {Dolbeault, Jean and Esteban, Maria J. and Ramaswamy, Mythily},
Date-Added = {2006-12-21 18:03:45 +0100},
Date-Modified = {2006-12-21 18:03:45 +0100},
Fjournal = {Differential and Integral Equations. An International Journal
for Theory \& Applications},
Issn = {0893-4983},
Journal = {Differential Integral Equations},
Mrclass = {35J60 (35B05 35J25 35P30)},
Mrnumber = {MR1920255 (2003f:35102)},
Mrreviewer = {Monica Musso},
Number = {12},
Pages = {1459--1474},
Title = {Radial singular solutions of a critical problem in a ball},
Volume = {15},
Year = {2002}}
@article{0039,
Author = {Biler, Piotr and Dolbeault, Jean and Esteban, Maria J. and Markowich, Peter A. and Nadzieja, Tadeusz},
Date-Added = {2007-02-04 20:54:56 +0100},
Date-Modified = {2008-12-15 14:35:12 +0100},
Journal = {IMA Vol. Math. Appl.},
Pages = {37--56},
Title = {Steady states for {S}treater's energy-transport models of self-gravitating particles},
Volume = {135},
Year = {2004}}
@article{MR1847430,
Author = {Dolbeault, Jean and Markowich, Peter A. and Unterreiter,
Andreas},
Date-Added = {2006-12-21 18:03:45 +0100},
Date-Modified = {2006-12-21 18:03:45 +0100},
Fjournal = {Archive for Rational Mechanics and Analysis},
Issn = {0003-9527},
Journal = {Arch. Ration. Mech. Anal.},
Mrclass = {76X05 (35K57 82D37)},
Mrnumber = {MR1847430 (2002i:76123)},
Mrreviewer = {Alexander M. Blokhin},
Number = {4},
Pages = {319--351},
Title = {On singular limits of mean-field equations},
Volume = {158},
Year = {2001}}
@article{MR1807187,
Author = {Dolbeault, Jean and Monneau, R{\'e}gis},
Coden = {CASMEI},
Date-Added = {2006-12-21 18:03:45 +0100},
Date-Modified = {2006-12-21 18:03:45 +0100},
Fjournal = {Comptes Rendus de l'Acad\'emie des Sciences. S\'erie I.
Math\'ematique},
Issn = {0764-4442},
Journal = {C. R. Acad. Sci. Paris S\'er. I Math.},
Mrclass = {35J60 (35R35 65N15)},
Mrnumber = {MR1807187 (2001j:35078)},
Number = {10},
Pages = {771--776},
Title = {Convexity estimates for nonlinear elliptic equations and
application to free boundary problem},
Volume = {331},
Year = {2000}}
@article{MR1867605,
Author = {Biler, P. and Dolbeault, J. and Esteban, M. J.},
Coden = {AMLEEL},
Date-Added = {2006-12-21 18:03:45 +0100},
Date-Modified = {2006-12-21 18:03:45 +0100},
Fjournal = {Applied Mathematics Letters. An International Journal of Rapid
Publication},
Issn = {0893-9659},
Journal = {Appl. Math. Lett.},
Mrclass = {35K57 (35B40)},
Mrnumber = {MR1867605 (2002h:35130)},
Number = {1},
Pages = {101--107},
Title = {Intermediate asymptotics in {$L\sp 1$} for general nonlinear
diffusion equations},
Volume = {15},
Year = {2002}}
@article{MR1798494,
Author = {Biler, Piotr and Dolbeault, Jean and Esteban, Maria J. and Karch, Grzegorz},
Date-Added = {2006-12-21 18:03:45 +0100},
Date-Modified = {2006-12-24 13:24:58 +0100},
Fjournal = {Advances in Differential Equations},
Issn = {1079-9389},
Journal = {Adv. Differential Equations},
Mrclass = {35Qxx (35B40 35J60 35K55 82C22)},
Mrnumber = {MR1798494 (2001i:35234)},
Mrreviewer = {Andreas Unterreiter},
Number = {4},
Pages = {461--480},
Title = {Stationary solutions, intermediate asymptotics and large-time
behaviour of type {II} {S}treater's models},
Volume = {6},
Year = {2001}}
@article {MR2073527,
AUTHOR = {Dolbeault, Jean and Felmer, Patricio},
TITLE = {Monotonicity up to radially symmetric cores of positive
solutions to nonlinear elliptic equations: local moving planes
and unique continuation in a non-{L}ipschitz case},
JOURNAL = {Nonlinear Anal.},
FJOURNAL = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal. Series A: Theory and
Methods},
VOLUME = {58},
YEAR = {2004},
NUMBER = {3-4},
PAGES = {299--317},
ISSN = {0362-546X},
CODEN = {NOANDD},
MRCLASS = {35J60 (35A30 35B60)},
MRNUMBER = {MR2073527 (2005c:35091)},
}
@article{PRL-DESV,
Author = {Dolbeault, Jean and Esteban, Maria J. and S{\'e}r{\'e}, Eric and Vanbreugel, Michel},
Date-Added = {2007-01-01 16:41:00 +0100},
Date-Modified = {2007-01-01 16:44:04 +0100},
Journal = {Physical Review Letters},
Month = {November},
Number = {19},
Pages = {4020--4023},
Title = {Minimization methods for the one-particle Dirac equation},
Volume = {85},
Year = {2000}}
@incollection{MR1855581,
Address = {Berlin},
Author = {Dolbeault, Jean and Esteban, Maria J. and S{\'e}r{\'e}, Eric},
Booktitle = {Mathematical models and methods for ab initio quantum
chemistry},
Date-Added = {2006-12-21 18:03:45 +0100},
Date-Modified = {2006-12-24 13:12:16 +0100},
Mrclass = {81Q10 (81Q05)},
Mrnumber = {MR1855581},
Pages = {211--226},
Publisher = {Springer},
Series = {Lecture Notes in Chem.},
Title = {Variational methods in relativistic quantum mechanics: new approach to the computation of {D}irac eigenvalues},
Volume = {74},
Year = {2000}}
@techreport{9947,
Author = {Dolbeault, Jean and Monneau, R{\'e}gis},
Date-Added = {2006-12-21 18:03:45 +0100},
Date-Modified = {2008-12-21 09:54:06 +0100},
Institution = {Ceremade no. 9947},
Title = {Convexity properties of the free boundary and gradient estimates for quasi-linear elliptic equations},
Type = {Technical report},
Year = {1999}}
@article {MR1830948,
AUTHOR = {Dolbeault, J. and Rein, G.},
TITLE = {Time-dependent rescalings and {L}yapunov functionals for the
{V}lasov-{P}oisson and {E}uler-{P}oisson systems, and for
related models of kinetic equations, fluid dynamics and
quantum physics},
JOURNAL = {Math. Models Methods Appl. Sci.},
FJOURNAL = {Mathematical Models \& Methods in Applied Sciences},
VOLUME = {11},
YEAR = {2001},
PAGES = {407--432},
ISSN = {0218-2025},
MRCLASS = {82D10 (35A22 35Q35 35Q40 35Q55 82C40)},
MRNUMBER = {MR1830948 (2002f:82034)},
MRREVIEWER = {R. Glassey},
}
@article{MR1778187,
Author = {Caffarelli, Luis and Dolbeault, Jean and Markowich, Peter A.
and Schmeiser, Christian},
Date-Added = {2006-12-21 18:03:45 +0100},
Date-Modified = {2006-12-21 18:03:45 +0100},
Fjournal = {Interfaces and Free Boundaries. Modelling, Analysis and
Computation},
Issn = {1463-9963},
Journal = {Interfaces Free Bound.},
Mrclass = {82D37 (35R35)},
Mrnumber = {MR1778187 (2001i:82070)},
Mrreviewer = {B. Kellogg},
Number = {3},
Pages = {331--339},
Title = {On {M}axwellian equilibria of insulated semiconductors},
Volume = {2},
Year = {2000}}
@article{MR1879831,
Author = {Dolbeault, J. and Illner, R. and Lange, H.},
Coden = {JDEQAK},
Date-Added = {2006-12-21 18:03:45 +0100},
Date-Modified = {2006-12-21 18:03:45 +0100},
Fjournal = {Journal of Differential Equations},
Issn = {0022-0396},
Journal = {J. Differential Equations},
Mrclass = {81V45 (35B15 35Q40 81Q05 81V35 82C23)},
Mrnumber = {MR1879831 (2003j:81253)},
Mrreviewer = {M. Znojil},
Number = {2},
Pages = {314--324},
Title = {On asymmetric quasiperiodic solutions of {H}artree-{F}ock
systems},
Volume = {178},
Year = {2002}}
@article{MR1866628,
Author = {Biler, Piotr and Dolbeault, Jean and Markowich, Peter A.},
Coden = {TTSPB4},
Date-Added = {2006-12-21 18:03:45 +0100},
Date-Modified = {2006-12-21 18:03:45 +0100},
Fjournal = {Transport Theory and Statistical Physics},
Issn = {0041-1450},
Journal = {Transport Theory Statist. Phys.},
Mrclass = {82D10 (35B40 35G20 82C40)},
Mrnumber = {MR1866628 (2002j:82111)},
Mrreviewer = {C{\'e}dric Villani},
Note = {The Sixteenth International Conference on Transport Theory,
Part II (Atlanta, GA, 1999)},
Number = {4-6},
Pages = {521--536},
Title = {Large time asymptotics of nonlinear drift-diffusion systems
with {P}oisson coupling},
Volume = {30},
Year = {2001}}
@article {MR1724086,
AUTHOR = {Dolbeault, Jean and Felmer, Patricio},
TITLE = {Sym\'etrie des solutions d'\'equations semi-lin\'eaires
elliptiques},
JOURNAL = {C. R. Acad. Sci. Paris S\'er. I Math.},
FJOURNAL = {Comptes Rendus de l'Acad\'emie des Sciences. S\'erie I.
Math\'ematique},
VOLUME = {329},
YEAR = {1999},
NUMBER = {8},
PAGES = {677--682},
ISSN = {0764-4442},
CODEN = {CASMEI},
MRCLASS = {35J65 (35B05)},
MRNUMBER = {MR1724086 (2000k:35096)},
MRREVIEWER = {Srinivasan Kesavan},
}
@article {MR1771949,
AUTHOR = {Ben Abdallah, Naoufel and Dolbeault, Jean},
TITLE = {Relative entropies for the {V}lasov-{P}oisson system in
bounded domains},
JOURNAL = {C. R. Acad. Sci. Paris S\'er. I Math.},
FJOURNAL = {Comptes Rendus de l'Acad\'emie des Sciences. S\'erie I.
Math\'ematique},
VOLUME = {330},
YEAR = {2000},
NUMBER = {10},
PAGES = {867--872},
ISSN = {0764-4442},
CODEN = {CASMEI},
MRCLASS = {76X05 (35Q35)},
MRNUMBER = {MR1771949 (2001m:76112)},
MRREVIEWER = {C{\'e}dric Villani},
}
@article {MR1761368,
AUTHOR = {Dolbeault, Jean and Esteban, Maria J. and S{\'e}r{\'e}, Eric},
TITLE = {On the eigenvalues of operators with gaps. {A}pplication to
{D}irac operators},
JOURNAL = {J. Funct. Anal.},
FJOURNAL = {Journal of Functional Analysis},
VOLUME = {174},
YEAR = {2000},
NUMBER = {1},
PAGES = {208--226},
ISSN = {0022-1236},
CODEN = {JFUAAW},
MRCLASS = {47B25 (47A75 49R50 81Q10)},
MRNUMBER = {MR1761368 (2001e:47040)},
MRREVIEWER = {Ghias Hachem},
}
@article{MR1793200,
Author = {Benguria, Rafael D. and Dolbeault, Jean and Esteban, Maria J.},
Coden = {JDEQAK},
Date-Added = {2006-12-21 18:03:45 +0100},
Date-Modified = {2006-12-21 18:03:45 +0100},
Fjournal = {Journal of Differential Equations},
Issn = {0022-0396},
Journal = {J. Differential Equations},
Mrclass = {35J60 (34C99 35B05 35B33)},
Mrnumber = {MR1793200 (2001k:35083)},
Mrreviewer = {Juncheng Wei},
Number = {2},
Pages = {438--466},
Title = {Classification of the solutions of semilinear elliptic
problems in a ball},
Volume = {167},
Year = {2000}}
@article{MR1897688,
Author = {Dolbeault, Jean},
Date-Added = {2006-12-21 18:03:45 +0100},
Date-Modified = {2006-12-21 18:03:45 +0100},
Fjournal = {Discrete and Continuous Dynamical Systems. Series A},
Issn = {1078-0947},
Journal = {Discrete Contin. Dyn. Syst.},
Mrclass = {82C40 (35D05 35F20 76P05)},
Mrnumber = {MR1897688 (2003e:82060)},
Mrreviewer = {Carlo Cercignani},
Note = {Current developments in partial differential equations
(Temuco, 1999)},
Number = {2},
Pages = {361--380},
Title = {An introduction to kinetic equations: the {V}lasov-{P}oisson
system and the {B}oltzmann equation},
Volume = {8},
Year = {2002}}
@article{MR1777308,
Author = {Biler, Piotr and Dolbeault, Jean},
Date-Added = {2006-12-21 18:03:45 +0100},
Date-Modified = {2006-12-21 18:03:45 +0100},
Fjournal = {Annales Henri Poincar\'e. A Journal of Theoretical and
Mathematical Physics},
Issn = {1424-0637},
Journal = {Ann. Henri Poincar\'e},
Mrclass = {35Q80 (35B40 35G25 35G30 92E20)},
Mrnumber = {MR1777308 (2001g:35254)},
Mrreviewer = {Tadeusz Nadzieja},
Number = {3},
Pages = {461--472},
Title = {Long time behavior of solutions of {N}ernst-{P}lanck and
{D}ebye-{H}\"uckel drift-diffusion systems},
Volume = {1},
Year = {2000}}
@techreport{9905,
Author = {del Pino, Manuel and Dolbeault, Jean},
Date-Added = {2007-02-04 21:24:31 +0100},
Date-Modified = {2008-12-21 09:52:40 +0100},
Institution = {Ceremade no. 9905},
Title = {Generalized {S}obolev inequalities and asymptotic behaviour in fast diffusion and porous medium problems},
Type = {Technical report},
Year = {1999}}
@article {MR1759806,
AUTHOR = {Dolbeault, Jean and Felmer, Patricio},
TITLE = {Symmetry and monotonicity properties for positive solutions of
semi-linear elliptic {PDE}'s},
JOURNAL = {Comm. Partial Differential Equations},
FJOURNAL = {Communications in Partial Differential Equations},
VOLUME = {25},
YEAR = {2000},
NUMBER = {5-6},
PAGES = {1153--1169},
ISSN = {0360-5302},
CODEN = {CPDIDZ},
MRCLASS = {35J25 (35B05)},
MRNUMBER = {MR1759806 (2001k:35068)},
MRREVIEWER = {Alberto Tesei},
}
@inproceedings {MR1770442,
AUTHOR = {Dolbeault, Jean},
TITLE = {Time-dependent rescalings and {L}yapunov functionals for some
kinetic and fluid models},
BOOKTITLE = {Proceedings of the Fifth International Workshop on
Mathematical Aspects of Fluid and Plasma Dynamics (Maui, HI,
1998)},
JOURNAL = {Transport Theory Statist. Phys.},
FJOURNAL = {Transport Theory and Statistical Physics},
VOLUME = {29},
YEAR = {2000},
PAGES = {537--549},
ISSN = {0041-1450},
CODEN = {TTSPB4},
MRCLASS = {76N10 (76P05 82C40)},
MRNUMBER = {MR1770442 (2001f:76063)},
MRREVIEWER = {Reinhard Illner},
}
@techreport{9845,
Author = {Dolbeault, Jean},
Date-Added = {2007-02-04 21:59:02 +0100},
Date-Modified = {2008-12-21 09:53:44 +0100},
Institution = {Ceremade no. 9845},
Title = {Time-dependent rescalings and dispersion for the {B}oltzmann equation},
Type = {Technical report},
Year = {1998}}
@article {MR1767717,
AUTHOR = {Dolbeault, Jean and Esteban, Maria J. and S{\'e}r{\'e}, Eric},
TITLE = {Variational characterization for eigenvalues of {D}irac
operators},
JOURNAL = {Calc. Var. Partial Differential Equations},
FJOURNAL = {Calculus of Variations and Partial Differential Equations},
VOLUME = {10},
YEAR = {2000},
NUMBER = {4},
PAGES = {321--347},
ISSN = {0944-2669},
MRCLASS = {49R50 (35P15 47F05 49S05)},
MRNUMBER = {MR1767717 (2001f:49083)},
MRREVIEWER = {Erich Miersemann},
}
@article{MR1778774,
Author = {Dolbeault, J.},
Coden = {CPDIDZ},
Date-Added = {2006-12-21 18:03:45 +0100},
Date-Modified = {2006-12-21 18:03:45 +0100},
Fjournal = {Communications in Partial Differential Equations},
Issn = {0360-5302},
Journal = {Comm. Partial Differential Equations},
Mrclass = {76X05 (35B10 35B40 35Q80 82D10)},
Mrnumber = {MR1778774 (2001h:76118)},
Mrreviewer = {Reinhard Illner},
Number = {9-10},
Pages = {1567--1647},
Title = {Monokinetic charged particle beams: qualitative behavior of
the solutions of the {C}auchy problem and 2d time-periodic
solutions of the {V}lasov-{P}oisson system},
Volume = {25},
Year = {2000}}
@article {MR1677677,
AUTHOR = {Dolbeault, J.},
TITLE = {Free energy and solutions of the
{V}lasov-{P}oisson-{F}okker-{P}lanck system: external
potential and confinement (large time behavior and steady
states)},
JOURNAL = {J. Math. Pures Appl. (9)},
FJOURNAL = {Journal de Math\'ematiques Pures et Appliqu\'ees. Neuvi\`eme
S\'erie},
VOLUME = {78},
YEAR = {1999},
NUMBER = {2},
PAGES = {121--157},
ISSN = {0021-7824},
CODEN = {JMPAAM},
MRCLASS = {35Q99 (35B40 82B40 82C22 82C31 82D10)},
MRNUMBER = {MR1677677 (99m:35248)},
MRREVIEWER = {R. Glassey},
}
@article {MR1104107,
AUTHOR = {Desvillettes, L. and Dolbeault, J.},
TITLE = {On long time asymptotics of the {V}lasov-{P}oisson-{B}oltzmann
equation},
JOURNAL = {Comm. Partial Differential Equations},
FJOURNAL = {Communications in Partial Differential Equations},
VOLUME = {16},
YEAR = {1991},
NUMBER = {2-3},
PAGES = {451--489},
ISSN = {0360-5302},
CODEN = {CPDIDZ},
MRCLASS = {35Q99 (35B40 76P05 76X05 82D10)},
MRNUMBER = {MR1104107 (92b:35153)},
MRREVIEWER = {R. Glassey},
}
@article {MR1288807,
AUTHOR = {Dolbeault, J.},
TITLE = {Kinetic models and quantum effects: a modified {B}oltzmann
equation for {F}ermi-{D}irac particles},
JOURNAL = {Arch. Rational Mech. Anal.},
FJOURNAL = {Archive for Rational Mechanics and Analysis},
VOLUME = {127},
YEAR = {1994},
NUMBER = {2},
PAGES = {101--131},
ISSN = {0003-9527},
CODEN = {AVRMAW},
MRCLASS = {82C40 (35Q99 76P05)},
MRNUMBER = {MR1288807 (95j:82048)},
MRREVIEWER = {Carlo Cercignani},
}
@incollection {MR1240099,
AUTHOR = {Dolbeault, J.},
TITLE = {On long time asymptotics of the {V}lasov-{P}oisson-{B}oltzmann
system},
BOOKTITLE = {Nonlinear kinetic theory and mathematical aspects of
hyperbolic systems (Rapallo, 1992)},
SERIES = {Ser. Adv. Math. Appl. Sci.},
VOLUME = {9},
PAGES = {115--123},
PUBLISHER = {World Sci. Publ., River Edge, NJ},
YEAR = {1992},
MRCLASS = {82D10 (82C40)},
MRNUMBER = {MR1240099 (94j:82078)},
MRREVIEWER = {Klaus Dressler},
}
@article {MR1325639,
AUTHOR = {Dolbeault, J. and Poupaud, F.},
TITLE = {A remark on the critical explosion parameter for a semilinear
elliptic equation in a generic domain using an explosion time
of an ordinary differential equation},
JOURNAL = {Nonlinear Anal.},
FJOURNAL = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal. Series A: Theory and
Methods},
VOLUME = {24},
YEAR = {1995},
NUMBER = {8},
PAGES = {1149--1162},
ISSN = {0362-546X},
CODEN = {NOANDD},
MRCLASS = {35B32 (34A34 35J15)},
MRNUMBER = {MR1325639 (96b:35022)},
MRREVIEWER = {Jann-Long Chern},
}
@article {MR1080620,
AUTHOR = {Dolbeault, Jean},
TITLE = {Existence de solutions sym\'etriques pour un mod\`ele de
champs de m\'esons: le mod\`ele d'{A}dkins et {N}appi},
JOURNAL = {Comm. Partial Differential Equations},
FJOURNAL = {Communications in Partial Differential Equations},
VOLUME = {15},
YEAR = {1990},
NUMBER = {12},
PAGES = {1743--1786},
ISSN = {0360-5302},
CODEN = {CPDIDZ},
MRCLASS = {58E15 (81V05)},
MRNUMBER = {MR1080620 (92a:58032)},
MRREVIEWER = {Philippe-A. Dionne},
}
@article {MR1306570,
AUTHOR = {Bouchut, F. and Dolbeault, J.},
TITLE = {On long time asymptotics of the {V}lasov-{F}okker-{P}lanck
equation and of the {V}lasov-{P}oisson-{F}okker-{P}lanck
system with {C}oulombic and {N}ewtonian potentials},
JOURNAL = {Differential Integral Equations},
FJOURNAL = {Differential and Integral Equations. An International Journal
for Theory \& Applications},
VOLUME = {8},
YEAR = {1995},
NUMBER = {3},
PAGES = {487--514},
ISSN = {0893-4983},
MRCLASS = {82C31 (35B40 35Q99 82D10)},
MRNUMBER = {MR1306570 (95i:82076)},
MRREVIEWER = {R. Glassey},
}
@article {MR1115290,
AUTHOR = {Dolbeault, J.},
TITLE = {Stationary states in plasma physics: {M}axwellian solutions of
the {V}lasov-{P}oisson system},
JOURNAL = {Math. Models Methods Appl. Sci.},
FJOURNAL = {Mathematical Models \& Methods in Applied Sciences},
VOLUME = {1},
YEAR = {1991},
NUMBER = {2},
PAGES = {183--208},
ISSN = {0218-2025},
MRCLASS = {82D10 (35Q99 45K05)},
MRNUMBER = {MR1115290 (92g:82110)},
MRREVIEWER = {Klaus Dressler},
}
@techreport{000b,
Author = {Dolbeault, Jean},
Date-Added = {2007-02-04 21:24:31 +0100},
Date-Modified = {2007-02-04 21:29:39 +0100},
Institution = {Ceremade},
Title = {Solutions stationnaires de masse finie pour l'{\'e}quation de {V}lasov avec potentiel central en dimension trois: une d{\'e}monstration du th{\'e}or{\`e}me de {J}eans},
Type = {Technical report},
Year = {1996}}