A dynamical condition for differentiability of Mather's average action
Dynamical Systems
2012-08-08 v1
Abstract
We prove the differentiability of of Mather function on all homology classes corresponding to rotation vectors of measures whose supports are contained in a Lipschitz Lagrangian absorbing graph, invariant by Tonelli Hamiltonians. We also show the relationship between local differentiability of and local integrability of the Hamiltonian flow.
Keywords
Cite
@article{arxiv.1208.1474,
title = {A dynamical condition for differentiability of Mather's average action},
author = {Alexandre Rocha and Mário J. D. Carneiro},
journal= {arXiv preprint arXiv:1208.1474},
year = {2012}
}
Comments
22 pages, 1 figure