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

被引：4

作者：

Liu QiHuai ^{[1
,2
]}

Li XinXiang ^{[3
]}

Yan Jun ^{[1
]}

机构：

[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

[2] Guilin Univ Elect Technol, Sch Math & Comp Sci, Guilin 541004, Peoples R China

[3] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

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; DEFINITE LAGRANGIAN SYSTEMS; LAX-OLEINIK SEMIGROUP; EUCLIDEAN-N-SPACE; WEAK KAM THEOREM; ASYMPTOTIC SOLUTIONS; PERIODIC-SOLUTIONS; CONVERGENCE; CONVEX;

D O I：

10.1007/s11425-015-5102-5

中图分类号：

O29 [应用数学];

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 -> infinity.

引用

页码：875 / 890

页数：16

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