Stochastic Time-Periodic Tonelli Lagrangian on Compact Manifold
Dynamical Systems
2020-09-22 v1
Abstract
In this paper, we study a class of time-periodic stochastic Tonelli Lagrangians on compact manifolds. Precisely, we discuss the stochastic Mane Critical Value, prove the existence of stochastic Weak KAM solutions of the related Hamilton-Jacobi equation. Furthermore, we survey the global minimizer.
Keywords
Cite
@article{arxiv.2009.09834,
title = {Stochastic Time-Periodic Tonelli Lagrangian on Compact Manifold},
author = {Liang Chen},
journal= {arXiv preprint arXiv:2009.09834},
year = {2020}
}