Remarks on the large time behavior of viscosity solutions of quasi-monotone weakly coupled systems of Hamilton-Jacobi equations
Remarks on the large time behavior of viscosity solutions of quasi-monotone weakly coupled systems of Hamilton-Jacobi equations
复制标题
DOI：
10.3233/asy-2011-1071
复制
发表时间：
2011-04
期刊：
影响因子：
--
通讯作者：
Hiroyoshi Mitake;H. Tran
中科院分区：
文献类型：
--
作者：
Hiroyoshi Mitake;H. Tran
研究了n维环面上Hamilton-Jacobi方程拟单调弱耦合系统黏度解的大时性。在相当有限的假设下，我们建立了时间趋于无穷时渐近解的收敛结果。
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.