On the Convergence of Solutions for SPDEs under Perturbation of the Domain
- Resource Type
- article
- Authors
- Zhongkai Guo; Jicheng Liu; Wenya Wang
- Source
- Discrete Dynamics in Nature and Society, Vol 2016 (2016)
- Subject
- Mathematics
QA1-939
- Language
- English
- ISSN
- 1026-0226
1607-887X
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.