Pullback attractors for a nonautonomous damped wave equation with infinite delays in weighted space | Zendy

Ran Yanping | Zendy; Shi Qihong | Zendy

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Pullback attractors for a nonautonomous damped wave equation with infinite delays in weighted space

Author(s) -

Ran Yanping,

Shi Qihong

Publication year - 2018

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.4918

Subject(s) - pullback attractor , mathematics , compact space , pullback , attractor , mathematical analysis , damped wave , space (punctuation) , wave equation , simple (philosophy) , linguistics , philosophy , epistemology

In this paper, we investigate the existence of solutions for a damped wave equation with infinite delays in the weighted spaceC γ , H 0 1 ( Ω ) , L 2 ( Ω )andC γ , D ( A ) , H 0 1 ( Ω ) , respectively. In addition, we study the existence of pullback attractor for the process associated to the problem by a direct and simple compactness method.

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