Remarks on the large time behavior of viscosity solutions of quasi-monotone weakly coupled systems of Hamilton-Jacobi equations

被引：20
|
作者：
Mitake, Hiroyoshi [1 ]
Tran, Hung V. [2 ]
机构：
[1] Hiroshima Univ, Grad Sch Engn, Dept Appl Math, Higashihiroshima 7398527, Japan
[2] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
来源：
ASYMPTOTIC ANALYSIS | 2012年 / 77卷 / 1-2期
关键词：
large-time behavior; Hamilton-Jacobi equations; weakly coupled systems; ergodic problem; viscosity solutions; ASYMPTOTIC SOLUTIONS; CONVEX; HOMOGENIZATION; CONVERGENCE;
D O I：
10.3233/ASY-2011-1071
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the large-time behavior of viscosity solutions of quasi-monotone weakly coupled systems of Hamilton-Jacobi equations on the n-dimensional torus. We establish a convergence result to asymptotic solutions as time goes to infinity under rather restricted assumptions.
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页码：43 / 70
页数：28
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