Pullback attractors for a semilinear heat equation on time-varying domains

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:246

Article

Kloeden, Peter E.¹  Real, Jose²  Sun, Chunyou³ 

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

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

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

关键词: Semilinear heat equation;    Time-varying domain;    Nonautonomous dynamical system;    Pullback attractor;   

DOI  :  10.1016/j.jde.2008.11.017

来源: Elsevier

【 摘 要 】

The existence of a pullback attractor is established for the nonautonomous dynamical system generated by the weak solutions of a semilinear heat equation on time-varying domains with homogeneous Dirichlet boundary conditions. It is assumed that the spatial domains O(t) in R(N) are obtained from a bounded base domain O by a C(2)-diffeomorphism, which is continuously differentiable in the time variable, and are contained, in the past, in a common bounded domain. (c) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

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