A note on singular perturbation problems via Aubry-Mather theory

被引：0
|
作者：
Camilli, Fabio
Cesaroni, Annalisa
机构：
[1] Univ Aquila, Dipartimento Matemat Pura & Applicata, I-67040 Laquila, Italy
[2] Univ Padua, Dipartimento Matemat Pura & Applicata, I-35131 Padua, Italy
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2007年 / 17卷 / 04期
关键词：
singular perturbations; viscosity solutions; PDE Aubry-Mather theory;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Exploiting the metric approach to Hamilton-Jacobi equation recently introduced by Fathi and Siconolfi [13], we prove a singular perturbation result for a general class of Hamilton-Jacobi equations. Considered in the framework of small random perturbations of dynamical systems, it extends a result due to Kamin [19] to the case of a dynamical system having several attracting points inside the domain.
引用
收藏
页码：807 / 819
页数：13
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