STABILITY AND WEAK KAM SOLUTIONS OF CONTACT HAMILTON-JACOBI EQUATION

被引：0

作者：

Xu, Yang ^{[1
,2
]}

Yan, Jun ^{[1
,2
]}

Zhao, Kai ^{[1
,2
]}

机构：

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

[2] Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2024年 / 152卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Hamilton-Jacobi equations; viscosity solutions; weak KAM theory;

D O I：

10.1090/proc/16611

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are concerned with the stability of viscosity solutions to con-tact Hamilton-Jacobi equation H(x, partial differential xu(x), u(x)) = 0, x is an element of M, where H = H(x, p, u) satisfies Tonelli conditions. We study the relationship between Lyapunov stability of viscosity solutions and the structure of the set of weak KAM solutions to the contact Hamilton-Jacobi equation.

引用

页码：725 / 738

页数：14

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