Upper semicontinuity of attractors for small perturbations of Klein-Gordon-Schrodinger lattice system

被引：6

作者：

Li, Hengyan ^{[1
]}

Sun, Lei ^{[1
,2
]}

机构：

[1] North China Univ Water Resources & Elect Power, Sch Math & Informat Sci, Zhengzhou 450011, Peoples R China

[2] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454150, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2014年

关键词：

random attractor; stochastic Klein-Gordon-Schrodinger system; upper semicontinuity; DYNAMICAL-SYSTEMS; ASYMPTOTIC-BEHAVIOR; INFINITE LATTICES; UNBOUNDED-DOMAINS; EQUATIONS;

D O I：

10.1186/1687-1847-2014-300

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the existence of the random attractor for a Klein-Gordon-Schodinger system under a small epsilon-random perturbation on a high dimensional infinite lattice. Firstly, we prove the asymptotic compactness of the random dynamical system and obtain the random attractor. Then, by comparing to the case without random perturbation (epsilon = 0), we show the upper semicontinuity of the attractors.

引用

页数：16

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