Asymptotic behavior of a class of non-autonomous degenerate parabolic equations

被引：13

作者：

Wang, Bixiang ^{[1
]}

Jones, Robert ^{[1
]}

机构：

[1] New Mexico Inst Min & Technol, Dept Math, Socorro, NM 87801 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 9-10期

关键词：

Pullback attractor; Asymptotic compactness; Degenerate parabolic equation; REACTION-DIFFUSION EQUATIONS; NAVIER-STOKES EQUATIONS; PULLBACK ATTRACTORS; GLOBAL ATTRACTORS; UNIFORM ATTRACTORS; WAVE-EQUATIONS; EXISTENCE; CONTINUITY; DYNAMICS; SYSTEMS;

D O I：

10.1016/j.na.2010.01.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the asymptotic behavior of solutions of a class of non-autonomous degenerate parabolic equations on R-n with unbounded external forcing terms. The existence of a pullback global attractor is proved in L-2(R-n) boolean AND L-p(R-n) boolean AND W-1,W-r (R-n) for any p >= r >= 2. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：3887 / 3902

页数：16

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