PULLBACK EXPONENTIAL ATTRACTORS FOR EVOLUTION PROCESSES IN BANACH SPACES: PROPERTIES AND APPLICATIONS

被引：28
|
作者：
Carvalho, Alexandre N. [1 ]
Sonner, Stefanie [2 ,3 ]
机构：
[1] Univ Sao Paulo, Inst Ciencias Matemat & Computac, BR-13560970 Sao Carlos, SP, Brazil
[2] BCAM Basque Ctr Appl Math, 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 | 2014年 / 13卷 / 03期
基金：
巴西圣保罗研究基金会;
关键词：
Exponential attractors; non-autonomous dynamical systems; pullback and forwards attractors; non-autonomous Chafee-Infante equation; non-autonomous damped wave equation;
D O I：
10.3934/cpaa.2014.13.1141
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article is a continuation of our previous work [5], where we formulated general existence theorems for pullback exponential attractors for asymptotically compact evolution processes in Banach spaces and discussed its implications in the autonomous case. We now study properties of the attractors and use our theoretical results to prove the existence of pullback exponential attractors in two examples, where previous results do not apply.
引用
收藏
页码：1141 / 1165
页数：25
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