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Discrete Dynamics in Nature and Society
Volume 2016, Article ID 5425639, 7 pages
Research Article

On the Convergence of Solutions for SPDEs under Perturbation of the Domain

1School of Mathematics and Statistics, South-Central University for Nationalities, Wuhan 430074, China
2School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China
3School of Mathematics and Computer Science, Jianghan University, Wuhan 430056, China

Received 26 January 2016; Accepted 30 May 2016

Academic Editor: Nikos I. Karachalios

Copyright © 2016 Zhongkai Guo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We investigate the effect of domain perturbation on the behavior of mild solutions for a class of semilinear stochastic partial differential equations subject to the Dirichlet boundary condition. Under some assumptions, we obtain an estimate for the mild solutions under changes of the domain.