Discrete Approximation of stochastic Mather Measures and the viscous Hamilton Jacobi equation
报告题目(Title)：Discrete Approximation of stochastic Mather Measures and the viscous Hamilton Jacobi equation
报告人(Speaker)： Renato Iturriaga 教授（CIMAT，墨西哥）
地点(Place)：Zoom会议：680 391 94059 密码：123456
时间(Time)：12月21日 22：00-23：00
邀请人(Inviter)：苏喜锋
报告摘要
We consider a stochastic discretization of the stationary viscous Hamilton- Jacobi equation on the flat d–dimensional torus Td associated with a Hamiltonian, convex and superlinear in the momentum variable. We show that each discrete problem admits a unique continuous solution on Td, up to additive constants and a unique stochastic measure. We show that as the step goes to zero converges to the stochastic Mather measure. By additionally assuming a technical condition on the associated Lagrangian, we show that each solution of the viscous Hamilton–Jacobi equation is the limit of solutions of the discrete problems.
主讲人简介
Renato Iturriaga，墨西哥CIMAT研究中心教授，研究领域：动力系统和微分方程。主要研究成果发表在 Invent. Math.、Comm. Math. Phys.、Geom. Funct. Anal.等国际顶尖期刊。
