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

被引：0

作者：

QiHuai Liu

XinXiang Li

Jun Yan

机构：

[1] Fudan University,School of Mathematical Sciences

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

[3] Shanghai University,Department of Mathematics

来源：

Science China Mathematics | 2016年 / 59卷

关键词：

asymptotic behavior; viscosity solution; weak KAM theory; Hamilton-Jacobi equation; 35B40; 35F25; 37J99; 49L25;

D O I：

暂无

中图分类号：

学科分类号：

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：15

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