H2-boundedness of the pullback attractor for a non-autonomous reaction-diffusion equation

被引：13

作者：

Anguiano, M. ^{[1
]}

Caraballo, T. ^{[1
]}

Real, J. ^{[1
]}

机构：

[1] Univ Seville, Dpto Ecuac Diferenciales & Anal Numer, E-41080 Seville, Spain

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 02期

关键词：

Reaction-diffusion equations; Non-autonomous (pullback) attractors; Invariant sets; H-2-regularity;

D O I：

10.1016/j.na.2009.07.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove some regularity results for the pullback attractor of a reaction-diffusion model. First we establish a general result about H-2-boundedness of invariant sets for an evolution process. Then, as a consequence, we deduce that the pullback attractor of a non-autonomous reaction-diffusion equation is bounded not only in L-2 (Omega) boolean AND H-0(1) (Omega) but also in H-2 (Omega). (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：876 / 880

页数：5

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