FINITE-TIME CONVERGENCE OF SOLUTIONS OF HAMILTON-JACOBI EQUATIONS

被引：1
|
作者：
Wang, Kaizhi [1 ]
Yan, Jun [2 ]
Zhao, Kai [2 ]
机构：
[1] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China
[2] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2022年 / 150卷 / 03期
关键词：
Hamilton-Jacobi equations; viscosity solutions; finite-time convergence; weak KAM theory; VISCOSITY SOLUTIONS;
D O I：
10.1090/proc/15736
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the long-time behavior of viscosity solutions of evolutionary contact Hamilton-Jacobi equations w(t) + H(x, w, w(x)) = 0, where H(x, u, p) is strictly decreasing in u and satisfies Tonelli conditions in p. We show that each viscosity solution of the ergodic contact Hamilton-Jacobi equation H(x, u, u(x)) = 0 can be reached by many different viscosity solutions of the above evolutionary equation in a finite time.
引用
收藏
页码：1187 / 1196
页数：10
相关论文
共 50 条
12345