A representation formula of viscosity solutions to weakly coupled systems of Hamilton-Jacobi equations with applications to regularizing effect

被引：2
|
作者：
Jin, Liang [1 ]
Wang, Lin [2 ]
Yan, Jun [3 ]
机构：
[1] Nanjing Univ Sci & Technol, Dept Appl Math, Nanjing 210094, Jiangsu, Peoples R China
[2] Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China
[3] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2020年 / 268卷 / 05期
关键词：
Weakly coupled systems; Implicit variational principle; Viscosity solutions; Lipschitz regularity; LARGE-TIME BEHAVIOR; VANISHING CONTACT STRUCTURE;
D O I：
10.1016/j.jde.2019.09.022
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Based on a fixed point argument, we give a dynamical representation of the viscosity solution to Cauchy problem of certain weakly coupled systems of Hamilton-Jacobi equations with continuous initial datum. Using this formula, we obtain some regularity results related to the viscosity solution, including a partial extension of Lions' regularizing effect [17] to the case of weakly coupled systems. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页码：2012 / 2039
页数：28
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