EXISTENCE AND UPPER SEMICONTINUITY OF (L2, Lq) PULLBACK ATTRACTORS FOR A STOCHASTIC p-LAPLACIAN EQUATION

被引：10
|
作者：
Liu, Linfang [1 ]
Fu, Xianlong [1 ]
机构：
[1] East China Normal Univ, Dept Math, Shanghai Key Lab PMMP, Shanghai 200241, Peoples R China
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2017年 / 16卷 / 02期
关键词：
Stochastic p-Laplacian equation; bi-spatial pullback attractor; upper semi-continuity; omega-compactness; REACTION-DIFFUSION EQUATION; RANDOM DYNAMICAL-SYSTEMS; PARABOLIC EQUATION; GLOBAL ATTRACTORS; PRINCIPAL PART; CONTINUITY;
D O I：
10.1934/cpaa.2017023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the dynamical behavior of solutions for a non-autonomous p-Laplacian equation driven by a white noise term. We first establish the abstract results on existence and continuity of bi-spatial pull-back random attractors for a cocycle. Then by conducting some tail estimates and applying the obtained abstract results we show the existence and upper semi-continuity of (L-2(R-n), L-q(R-n))-pullback attractors for this p-Laplacian equation.
引用
收藏
页码：443 / 473
页数：31
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