Asymptotic Solutions of Hamilton-Jacobi Equations with State Constraints

被引：32

作者：

Mitake, Hiroyoshi ^{[1
]}

机构：

[1] Waseda Univ, Dept Pure & Appl Math, Shinjuku Ku, Tokyo 1698555, Japan

来源：

APPLIED MATHEMATICS AND OPTIMIZATION | 2008年 / 58卷 / 03期

关键词：

Hamilton-Jacobi equations; Large-time behavior; State constraints;

D O I：

10.1007/s00245-008-9041-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study Hamilton-Jacobi equations in a bounded domain with the state constraint boundary condition. We establish a general convergence result for viscosity solutions of the Cauchy problem for Hamilton-Jacobi equations with the state constraint boundary condition to asymptotic solutions as time goes to infinity.

引用

页码：393 / 410

页数：18

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