Existence and upper semicontinuity of random attractors for non-autonomous stochastic strongly damped sine-Gordon equation on unbounded domains

被引：7
作者：
Wang, Zhaojuan [1 ]
Liu, Yanan [1 ]
机构：
[1] Huaiyin Normal Univ, Sch Math Sci, Huaian 223300, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2017年 / 73卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Stochastic strongly damped sine-Gordon equation; Unbounded domains; Random attractor; WAVE-EQUATION; PULLBACK ATTRACTORS;
D O I：
10.1016/j.camwa.2017.01.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the asymptotic behavior of solutions of the non-autonomous stochastic strongly damped sine-Gordon equation driven by multiplicative noise defined on an unbounded domain. First we introduce a continuous cocycle for the equation and establish the pullback asymptotic compactness of solutions. Second we consider the existence and upper semicontinuity of random attractors for the equation. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1445 / 1460
页数：16
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