Electron. J. Diff. Equ., Vol. 2016 (2016), No. 139, pp. 1-28.

Pullback attractors for nonclassical diffusion delay equations on unbounded domains with non-autonomous deterministic and stochastic forcing terms

Fang-Hong Zhang, Wei Han

Abstract:
In this article, we prove the existence of pullback attractor in $C([-h,0];H^1(\mathbb{R}^N))$ for a stochastic nonclassical diffusion equations on unbounded domains with non-autonomous deterministic and stochastic forcing terms, and the pullback asymptotic compactness of the random dynamical system is established by a tail-estimates method.

Submitted April 27, 2016. Published June 8, 2016.
Math Subject Classifications: 35B41, 35Q35.
Key Words: Stochastic nonclassical diffusion equations; pullback attractor; asymptotic compactness.

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Fang-Hong Zhang
Department of Mathematics
Longqiao College of Lanzhou Commercial College
Lanzhou, China
email: zhangfanghong2010@126.com
Wei Han
Department of Mathematics
Longqiao College of Lanzhou Commercial College
Lanzhou, China
email: talitha@sohu.com

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