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.
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页码：725 / 738
页数：14
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