Time periodic viscosity solutions of Hamilton-Jacobi equations

被引：11

作者：

Bostan, Mihai ^{[1
]}

Namah, Gawtum ^{[1
]}

机构：

[1] Univ Franche Comte, Lab Math Besancon, F-25030 Besancon, France

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2007年 / 6卷 / 02期

关键词：

Hamilton-Jacobi equations; time periodic viscosity solutions; almost-periodic viscosity solutions;

D O I：

10.3934/cpaa.2007.6.389

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper discusses viscosity solutions of general Hamilton-Jacobi equations in the time periodic case. Existence results are presented under usual hypotheses. The main idea is to reduce the study of time periodic problems to the study of stationary problems obtained by averaging the source term over a period. These results hold also for almost-periodic viscosity solutions.

引用

页码：389 / 410

页数：22

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