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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