Pullback exponential attractors for nonautonomous equations Part I: Semi linear parabolic problems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:381

Article

Czaja, Radoslaw¹  Efendiev, Messoud² 

[1] Inst Super Tecn, CAMGSD, P-1049001 Lisbon, Portugal

[2] Helmholtz Ctr Munich, Inst Biomath & Biometry, D-85764 Neuherberg, Germany

关键词: Exponential attractor;    Pullback attractor;    Fractal dimension;    Nonautonomous dynamical systems;   

DOI  :  10.1016/j.jmaa.2011.03.053

来源: Elsevier

【 摘 要 】

A family of compact and positively invariant sets with uniformly bounded fractal dimension which at a uniform exponential rate pullback attract bounded subsets of the phase space under the process is constructed. The existence of such a family, called a pullback exponential attractor, is proved for a nonautonomous semilinear abstract parabolic Cauchy problem. Specific examples will be presented in the forthcoming Part II of this work. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

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