Attractors of asymptotically autonomous quasi-linear parabolic equation with spatially variable exponents

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:425

Article

Kloeden, Peter E.^1,2  Simsen, Jacson³ 

[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China

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

[3] Univ Fed Itajuba, Inst Matemat & Comp, BR-37500903 Itajuba, MG, Brazil

关键词: Non-autonomous quasi-linear;    parabolic problems;    Variable exponents;    Pullback attractors;    Asymptotically autonomous systems;   

DOI  :  10.1016/j.jmaa.2014.12.069

来源: Elsevier

【 摘 要 】

Some abstract results on the convergence of nonautonomous pullback attractors in asymptotically autonomous problems are established and then applied to quasi-linear parabolic equations with spatially variable exponents in which the parabolic operator is time-dependent. In particular, it is shown that the component subsets of the pullback attractor converge in the Hausdorff semi-distance to the global autonomous attractor. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free