Regularization of subsolutions in discrete weak KAM theory
Analysis of PDEs
2019-08-15 v2
Abstract
We expose different methods of regularizations of subsolutions in the context of discrete weak KAM theory. They allow to prove the existence and the density of subsolutions. Moreover, these subsolutions can be made strict and smooth outside of the Aubry set.
Cite
@article{arxiv.1203.2969,
title = {Regularization of subsolutions in discrete weak KAM theory},
author = {Patrick Bernard and Maxime Zavidovique},
journal= {arXiv preprint arXiv:1203.2969},
year = {2019}
}
Comments
15 pages, second version. Modified according to the referee's suggestions. The hypotheses are now uniform throughout the paper, which allows a simpler and more general statement of the main results