Year: 2015
Author: Shuilin Cheng
Journal of Partial Differential Equations, Vol. 28 (2015), Iss. 3 : pp. 253–268
Abstract
In this paper,we consider the stochastic nonclassical diffusion equationwith fading memory on a bounded domain. By decomposition of the solution operator, we give the necessary condition of asymptotic smoothness of the solution to the initial boundary value problem, and then we prove the existence of a random attractor in the space $M_1=D(A^{\frac{1}{2}}) × L^2_μ(R^+, D(A^{\frac{1}{2}}))$, where A=-Δ with Dirichlet boundary condition.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v28.n3.4
Journal of Partial Differential Equations, Vol. 28 (2015), Iss. 3 : pp. 253–268
Published online: 2015-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Stochastic nonclassical diffusion equations
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