Regularity of weak KAM solutions and Mañé’s Conjecture

Ludovic Rifford[1]

  • [1] Université de Nice-Sophia Antipolis Labo. J.-A. Dieudonné, UMR CNRS 6621 Parc Valrose 06108 Nice Cedex 02 France & Institut Universitaire de France

Séminaire Laurent Schwartz — EDP et applications (2011-2012)

  • Volume: 2011-2012, page 1-22
  • ISSN: 2266-0607

Abstract

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We provide a crash course in weak KAM theory and review recent results concerning the existence and uniqueness of weak KAM solutions and their link with the so-called Mañé conjecture.

How to cite

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Rifford, Ludovic. "Regularity of weak KAM solutions and Mañé’s Conjecture." Séminaire Laurent Schwartz — EDP et applications 2011-2012 (2011-2012): 1-22. <http://eudml.org/doc/251159>.

@article{Rifford2011-2012,
abstract = {We provide a crash course in weak KAM theory and review recent results concerning the existence and uniqueness of weak KAM solutions and their link with the so-called Mañé conjecture.},
affiliation = {Université de Nice-Sophia Antipolis Labo. J.-A. Dieudonné, UMR CNRS 6621 Parc Valrose 06108 Nice Cedex 02 France & Institut Universitaire de France},
author = {Rifford, Ludovic},
journal = {Séminaire Laurent Schwartz — EDP et applications},
keywords = {weak KAM theory; Mañé conjeture; critical Hamilton-Jacobi equation; Aubry set; Tonelli Hamiltonian},
language = {eng},
pages = {1-22},
publisher = {Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {Regularity of weak KAM solutions and Mañé’s Conjecture},
url = {http://eudml.org/doc/251159},
volume = {2011-2012},
year = {2011-2012},
}

TY - JOUR
AU - Rifford, Ludovic
TI - Regularity of weak KAM solutions and Mañé’s Conjecture
JO - Séminaire Laurent Schwartz — EDP et applications
PY - 2011-2012
PB - Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 2011-2012
SP - 1
EP - 22
AB - We provide a crash course in weak KAM theory and review recent results concerning the existence and uniqueness of weak KAM solutions and their link with the so-called Mañé conjecture.
LA - eng
KW - weak KAM theory; Mañé conjeture; critical Hamilton-Jacobi equation; Aubry set; Tonelli Hamiltonian
UR - http://eudml.org/doc/251159
ER -

References

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