Pullback attractors for non-autonomous reaction-diffusion equations with dynamical boundary conditions

被引：15

作者：

Anguiano, Maria ^{[1
]}

Marin-Rubio, Pedro ^{[1
]}

Real, Jose ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 383卷 / 02期

关键词：

Reaction-diffusion equations; Dynamical boundary conditions; Pullback attractors; PARABOLIC EQUATIONS;

D O I：

10.1016/j.jmaa.2011.05.046

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove the existence and uniqueness of a weak solution for a non-autonomous reaction-diffusion model with dynamical boundary conditions. After that, a continuous dependence result is established via an energy method, including in particular some compactness properties. Finally, the precedent results are used in order to ensure the existence of minimal pullback attractors in the frameworks of universes of fixed bounded sets and that given by a tempered growth condition. The relation among these families is also discussed. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：608 / 618

页数：11

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