Large time behavior of solutions for a class of time-dependent Hamilton-Jacobi equations

被引：0

作者：

LIU QiHuai ^{[1
,2
]}

LI XinXiang ^{[3
]}

YAN Jun ^{[1
]}

机构：

[1] School of Mathematical Sciences, Fudan University

[2] School of Mathematics and Computing Sciences, Guilin University of Electronic Technology

[3] Department of Mathematics, Shanghai University

来源：

Science China Mathematics | 2016年 / 59卷 / 05期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

asymptotic behavior; viscosity solution; weak KAM theory; Hamilton-Jacobi equation;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

We study the long-time behavior of viscosity solutions for time-dependent Hamilton-Jacobi equations by the dynamical approach based on weak KAM(Kolmogorov-Arnold-Moser) theory due to Fathi. We establish a general convergence result for viscosity solutions and adherence of the graph as t →∞.

引用

页码：875 / 890

页数：16

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