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arXiv · 2009.09834

Stochastic Time-Periodic Tonelli Lagrangian on Compact Manifold

Liang Chen
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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.

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Liang Chen. 2020-09-21. Stochastic Time-Periodic Tonelli Lagrangian on Compact Manifold. https://arxiv.org/abs/2009.09834

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