ROBUST EXPONENTIAL ATTRACTORS FOR NON-AUTONOMOUS EQUATIONS WITH MEMORY

被引：15

作者：

Kloeden, Peter E. ^{[1
]}

Real, Jose ^{[2
]}

Sun, Chunyou ^{[3
]}

机构：

[1] Goethe Univ Frankfurt, Inst Math, D-60054 Frankfurt, Germany

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

[3] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2011年 / 10卷 / 03期

关键词：

Non-autonomous systems with memory; robust exponential attractor; wave equations; DAMPED WAVE-EQUATION; ASYMPTOTIC REGULARITY; DYNAMICS;

D O I：

10.3934/cpaa.2011.10.885

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to consider the robustness of exponential attractors for non-autonomous dynamical systems with line memory which is expressed through convolution integrals. Some properties useful for dealing with the memory term for non-autonomous case are presented. Then, we illustrate the abstract results by applying them to the non-autonomous strongly damped wave equations with linear memory and critical nonlinearity.

引用

页码：885 / 915

页数：31

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