Time-periodic Evans approach to weak KAM theory
Analysis of PDEs
2018-01-01 v1 Optimization and Control
Abstract
We study the time-periodic version of Evans approach to weak KAM theory. Evans minimization problem is equivalent to a first oder mean field game system. For the mechanical Hamiltonian we prove the existence of smooth solutions. We introduce the corresponding effective Lagrangian and Hamiltonian and prove that they are smooth. We also consider the limiting behavior of the effective Lagrangian and Hamiltonian, Mather measures and minimizers.
Keywords
Cite
@article{arxiv.1712.10275,
title = {Time-periodic Evans approach to weak KAM theory},
author = {Hector Sanchez Morgado},
journal= {arXiv preprint arXiv:1712.10275},
year = {2018}
}