On the Conley decomposition of Mather sets
Dynamical Systems
2010-07-28 v2
Abstract
In the context of Mather's theory of Lagrangian systems, we study the decomposition in chain-transitive classes of the Mather invariant sets. As an application, we prove, under appropriate hypotheses, the semi-continuity of the so-called Aubry set as a function of the Lagrangian.
Keywords
Cite
@article{arxiv.0807.1593,
title = {On the Conley decomposition of Mather sets},
author = {Patrick Bernard},
journal= {arXiv preprint arXiv:0807.1593},
year = {2010}
}