Random attractors for stochastic reaction‐diffusion equations with multiplicative noise in    H  0  1 | Zendy

Wang Gang | Zendy; Tang Yanbin | Zendy

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Random attractors for stochastic reaction‐diffusion equations with multiplicative noise in H 0 1

Author(s) -

Wang Gang,

Tang Yanbin

Publication year - 2014

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.201300114

Subject(s) - multiplicative noise , attractor , mathematics , random dynamical system , multiplicative function , reaction–diffusion system , order (exchange) , dynamical systems theory , diffusion , nonlinear system , mathematical analysis , noise (video) , statistical physics , stochastic simulation , linear dynamical system , statistics , physics , linear system , computer science , finance , signal transfer function , digital signal processing , quantum mechanics , artificial intelligence , analog signal , computer hardware , economics , image (mathematics) , thermodynamics

In this paper, we study the random dynamical system generated by a stochastic reaction‐diffusion equation with multiplicative noise and prove the existence of anL 2 ( D ) , H 0 1 ( D ) ‐random attractor for such a random dynamical system. The nonlinearity f is supposed to satisfy some growth of arbitrary order p − 1( p ≥ 2 ) .

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