On the convergence of solutions for SPDEs under perturbation of the domian

Jicheng Liu; Wenya Wang; Zhongkai Guo

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On the convergence of solutions for SPDEs under perturbation of the domian

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arxiv 1312.6527 v2 pith:2IAHY22H submitted 2013-12-23 math.DS

Wenya Wang , Zhongkai Guo , Jicheng Liu This is my paper · ORCID

classification math.DS

keywords underdomainperturbationsolutionsassumptionsbehaviourboundarychanges

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We concern the effect of domain perturbation on the behaviour of stochastic partial differential equations subject to the Dirichlet boundary condition. Under some assumptions, we get an estimate for the solutions under changes of the domain.

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