-Random Attractors for Stochastic Reaction-Diffusion Equation on Unbounded Domains | Zendy

Wang Gang | Zendy; Yanbin Tang | Zendy

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-Random Attractors for Stochastic Reaction-Diffusion Equation on Unbounded Domains

Author(s) -

Wang Gang,

Yanbin Tang

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/279509

Subject(s) - mathematics , combinatorics , matrix (chemical analysis) , diffusion , path (computing) , mathematical analysis , physics , materials science , quantum mechanics , computer science , composite material , programming language

We study the random dynamical system generated by a stochastic reaction-diffusion equation with additive noise on the whole space ℝn and prove the existence of an (L2,H1)-random attractor for such a random dynamical system. The nonlinearity f is supposed to satisfy the growth of arbitrary order p-1 (p≥2). The (L2,H1)-asymptotic compactness of the random dynamical system is obtained by using an extended version of the tail estimate method introduced by Wang (1999) and the cut-off technique

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