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Publications-
Articles de recherche
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Patrick Bernard |
survey
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CEREMADE |
test
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patrick(dot)bernard
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(at)ceremade(dot)dauphine(dot)fr
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| 32-
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Patrick Bernard :
(
Proceedings of the Royal Society of Edinburgh, Section: A Mathematics
,
2012, to appear)
The Lax-Oleinik semi-group: a Hamiltonian point of view.
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| 31-
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Patrick Bernard, Maxime Zavidovique :
Regularization of subsolutions in discrete weak KAM theory
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| 30-
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Patrick Bernard, Joana Santos :
(
Math Proceedings of the Cambridge Philosophical Society
,
2011)
A geometric definition of the Mañé-Mather set and a Theorem of Marie-Claude Arnaud.
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| 29-
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Patrick Bernard, Joana Santos :
(
Journal of Topology and Analysis, 2010)
A geometric definition of the Aubry-Mather set
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| 28-
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Patrick Bernard :
(Proceedings of the International Congress of Mathematicians, 2010)
Arnold's Diffusion: from the a priori unstable to the a priori stable case.
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| 27- |
Patrick Bernard :
(
Annales Henri Poincaré
,
2010)
Large normally hyperbolic cylinder in a priori stable Hamiltonian systems |
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| 26- |
Patrick Bernard :
(
Rendiconti del Seminario Matematico della Universita di Padova
,
2010)
Lasri-Lions regularization and a Lemma of Ilmanen |
| 25- |
Patrick Bernard: (Revista Matematica Iberoamericana, 2010)
On the Conley Decomposition of
Mather sets
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24-
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Patrick Bernard :
(Archives for Rational Mechanics and analysis, 2010)
On the number of Mather measures of Lagrangian systems
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23-
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Patrick Bernard, Ugo Bessi:
(Journal of the Korean Mathematical Society, 2010)
Young measures, Cartesian maps, and
Polyconvexity
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22-
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Patrick Bernard :
( Séminaire X-EDP, 2008-2009)
Some remarks on the continuity equation |
21-
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Luigi Ambrosio, Patrick
Bernard :
(Rendiconti
Lincei - Matematica e Applicazioni 2008)
Uniqueness of signed measures
solving the
continuity equation for Osgood vectorfield
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| 20- |
Patrick Bernard: (Indiana University Math. Journal 2008)
Young measures, superpositions and
transport |
| 19- |
Patrick Bernard, Gonzalo
Contreras: (Annals of Maths,
2008)
A generic property of families
of Lagrangian systems |
| 18- |
Patrick Bernard: ( Annales scientifiques
de l'ENS, 2007)
Existence of C^{1,1} critical
sub-solutions of the Hamilton-Jacobi equation
on compact manifolds (2006) |
| 17- |
Patrick Bernard:
(Math. Research Letters,
2007)
Smooth critical sub-solutions of the
Hamilton-Jacobi equation |
| 16- |
Patrick Bernard, Boris
Buffoni:
(Advanced studies in Pure Mathematics, Asymptotic analysis and
singularity, 2007)
Weak KAM pairs and Monge-Kantorovich
duality |
| 15- |
Patrick Bernard: (
Duke Math Journal, 2007)
Symplectic aspects of
Aubry-Mather theory |
| 14- |
Patrick Bernard: (
Encyclopedia of Mathematical Physics Oxford: Elsevier , 2006)
Hamiltonian systems:
Stability and Instability Theory |
| 13- |
Patrick Bernard, Boris
Buffoni: ( Advances
in Mathematics, 2006)
The
Monge problem for supercritical Mané potentials on compact
manifolds . |
| 12- |
Patrick Bernard, Boris
Buffoni: ( Journal
of
the European Mathematical Society, 2007)
Optimal
mass transportation and Mather theory . |
| 11- |
Patrick Bernard: (
Journ. of the American Math. Society, 2008)
The
dynamics of pseudographs in convex Hamiltonian systems |
| 10- |
Patrick Bernard: (
Nonlinearity, 2005)
The
asymptotic behaviour of solutions of the forced Burgers equation on the
circle |
| 9- |
Patrick Bernard,
Jean-Michel Roquejoffre:
(
Communications in PDE, 2004)
Convergence
to time-periodic solutions in Hamilton-Jacobi equations on
the circle |
| 8- |
Patrick Bernard:(
Bulletin de la SMF , 2003)
The
action spectrum near positive definite invariant tori |
| 7- |
Patrick Bernard:
(
Annales de L'Institut Fourier, 2002)
Connecting
orbits of time dependent Lagrangian systems |
| 6- |
Patrick Bernard, Clodoaldo
Grotta Ragazzo et Pedro Antonio
Santoro Salomão:
(
Astérisque , 2003)
Homoclinic
orbits near saddle center fixed
points of Hamiltonian systems with two degrees of freedom |
| 5- |
Patrick Bernard:
(
Calculus of Variations and PDE , 2003)
Homoclinic
orbit to a center manifold |
| 4- |
Patrick Bernard: (
Journal of Differential Equations , 2003)
Homoclinic
orbits in families of hypersurfaces with
hyperbolic periodic orbits |
| 3- |
Patrick Bernard: (
Annales Scientifiques de l'Université de Toulouse , 2003)
Une
propriété de transfert en approximation diophantienne
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| 2- |
Patrick Bernard: (
Ergodic Theory and Dynamical Systems, 2000)
Homoclinic
orbits to invariant sets of quasi-integrable exact maps |
| 1- |
Patrick Bernard: (
Comptes Rendus de l'Academie des sciences, 1996)
Perturbation
d'un hamiltonien partiellement hyperbolique
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