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

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.

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Bibliographic Details
Published in:Discrete dynamics in nature and society 2016-01, Vol.2016 (2016), p.1-7
Main Authors: Guo, Zhongkai, Wang, Wenya, Liu, Jicheng
Format: Article
Language:English
Subjects:
Behavior
Boundary conditions
Convergence
Convergence (Mathematics)
Differential equations, Partial
Dirichlet problem
Dynamics
Estimates
Mathematical research
Mathematics
Partial differential equations
Perturbation (Mathematics)
Perturbation methods
Stochastic differential equations
Stochasticity
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Description
Summary: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.
ISSN:1026-0226
1607-887X
DOI:10.1155/2016/5425639