Random periodic solutions of SPDEs via integral equations and Wiener-Sobolev compact embedding

In this paper, we study the existence of random periodic solutions for semilinear SPDEs on a bounded domain with a smooth boundary. We identify them as the solutions of coupled forward-backward infinite horizon stochastic integral equations on L (D) in general cases. For this we use Mercer's Th...

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Bibliographic Details
Main Authors: Chunrong Feng, Huaizhong Zhao
Format: Default Article
Published: 2012
Subjects:
Other mathematical sciences not elsewhere classified
Wiener-Sobolev compactness
Malliavin derivative
Differential equations
Integral equations
Random periodic solution
Mathematical Sciences not elsewhere classified
Online Access:https://hdl.handle.net/2134/15517
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https://hdl.handle.net/2134/15517

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