Stochastic Time-Periodic Tonelli Lagrangian on Compact Manifold

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.

References in corpus (2)

• Weak solutions of the Hamilton-Jacobi equation for time periodic lagrangians
• Subsolutions of time-periodic Hamilton-Jacobi equations