Functional inequalities, asymptotics and dynamics of fronts
Coopération franco-chilienne - Contrat ECOS no. C11E07
Publications
- T. Bourgeron, C. Conca, R. Lecaros,
Determining the Distribution of Calcium Channels in the Olfactory System,
soumis, Hal-01132095
- Adrien Blanchet, José A. Carrillo, David Kinderlehrer, Michal Kowalczyk, Philippe Laurençot, Stefano Lisini,
A hybrid variational principle for the Keller-Segel system in R2,
arXiv:1407.5562 [math.AP], to appear in Mathematical Modelling and Numerical Analysis.
- Michal Kowalczyk, Benoît Perthame, and Nicolas Vauchelet,
Transversal instability for the thermodiffusive reaction-diffusion system,
soumis.
- Adrien Blanchet,
A gradient flow approach to the Keller-Segel systems,
RIMS Kokyuroku's lecture note", 2015.
- Jean Dolbeault, and Michal Kowalczyk,
Uniqueness and rigidity in nonlinear elliptic equations, interpolation inequalities, and spectral estimates,
soumis, arXiv:1401.7755 [math.AP].
- C. Cortézar, J. Dolbeault, M. García-Huidobro, and R. Manásevich
Existence of sign changing solutions for an equation with a weighted p-Laplace operator
Nonlinear Analysis: Theory, Methods & Applications, 110: 1-22, 2014 (login: Dolbeault, password: Jean).
- Jean Dolbeault, Maria J. Esteban, Michal Kowalczyk, and Michael Loss,
Improved interpolation inequalities on the sphere,
Discrete and Continuous Dynamical Systems Series S (DCDS-S), 7 (4): 695-724, August 2014 (login: Dolbeault, password: Jean).
- Jean Dolbeault, Maria J. Esteban, Michal Kowalczyk, and Michael Loss,
Sharp interpolation inequalities on the sphere: new methods and consequences,
Chinese Annals of Mathematics, Series B, 34 (1) : 99-112, 2013 (login: Dolbeault, password: Jean).
- Jean Dolbeault, Marta García-Huidobro and Raul Manásevich,
Qualitative properties and existence of sign changing solutions with compact support for an equation with a p-Laplace operator,
Advanced Nonlinear Studies, 13: 149-178, 2013 (login: Dolbeault, password: Jean).
- Juan F. Campos and Jean Dolbeault,
A functional framework for the Keller-Segel system: logarithmic Hardy-Littlewood-Sobolev and related spectral gap inequalities,
Comptes Rendus Mathématique, 350 (21-22): 949-954, 2012 (login: Dolbeault, password: Jean).
- Juan F. Campos and Jean Dolbeault,
Asymptotic estimates for the parabolic-elliptic Keller-Segel model in the plane,
Comm. Partial Differential Equations, 39 (5): 806-841, 2014.
- Juan F. Campos and Jean Dolbeault,
A numerical study of linearized Keller-Segel operator in self-similar variables,
Technical Report
- Manuel del Pino and Jean Dolbeault,
The Euclidean Onofri inequality in higher dimensions,
International Mathematics Research Notices, 2012 (login: Dolbeault, password: Jean).
PhD thesis