PULLBACK EXPONENTIAL ATTRACTORS FOR EVOLUTION PROCESSES IN BANACH SPACES: THEORETICAL RESULTS

被引：59

作者：

Carvalho, Alexandre N. ^{[1
]}

Sonner, Stefanie ^{[1
,2
,3
]}

机构：

[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP, Brazil

[2] BCAM, E-48009 Bilbao, Basque Country, Spain

[3] Helmholtz Zentrum Munchen, Inst Biomath & Biometrie, D-85764 Neuherberg, Germany

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2013年 / 12卷 / 06期

基金：

巴西圣保罗研究基金会;

关键词：

Exponential attractors; non-autonomous dynamical systems; pullback attractors; fractal dimension;

D O I：

10.3934/cpaa.2013.12.3047

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct exponential pullback attractors for time continuous asymptotically compact evolution processes in Banach spaces and derive estimates on the fractal dimension of the attractors. We also discuss the corresponding results for autonomous processes.

引用

页码：3047 / 3071

页数：25

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