Stochastic Time-Periodic Tonelli Lagrangian on Compact Manifold

21 Sep 2020 · Liang Chen ·

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.