PULLBACK EXPONENTIAL ATTRACTORS FOR NONAUTONOMOUS DYNAMICAL SYSTEM IN SPACE OF HIGHER REGULARITY | Zendy

Yongjun Li | Zendy; Tinggang Zhao | Zendy; Hongqing Wu | Zendy; Jinying Wei | Zendy

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PULLBACK EXPONENTIAL ATTRACTORS FOR NONAUTONOMOUS DYNAMICAL SYSTEM IN SPACE OF HIGHER REGULARITY

Author(s) -

Yongjun Li,

Tinggang Zhao,

Hongqing Wu,

Jinying Wei

Publication year - 2016

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2016020

Subject(s) - pullback , pullback attractor , attractor , exponential function , mathematics , exponential dichotomy , polynomial , exponential growth , mathematical analysis , pure mathematics , differential equation

Under what condition, a process which exists a (E,E)-pullback exponential attractor implies the existence of (E, V )pullback exponential attractor when V embedded in E? We answer this question in this paper. As an application of this result, we prove the existence of pullback exponential attractor for a nonlinear reaction-diffusion equation with a polynomial growth nonlinearity in L(Ω)(∀q ≥ 2) and H 0 (Ω).

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