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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/733

Title: Pathwise stationary solutions of stochastic differential equations and backward doubly stochastic differential equations on infinite horizon
Authors: Zhang, Qi
Zhao, Huaizhong
Keywords: Backward doubly stochastic differential equations
Stochastic partial differential equations
Pathwise stationary solution
Random dynamical systems
Issue Date: 2006
Abstract: The main purpose of this paper is to study the existence of stationary solution for stochastic partial differential equations. We establish a new connection between backward doubly stochastic differential equations on infinite time horizon and the stationary solution of the SPDEs. For this we study the existence of the solution of the associated BDSDEs on infinite time horizon and prove it is a stationary viscosity solution of the corresponding SPDEs.
Description: This is a pre-print.
URI: https://dspace.lboro.ac.uk/2134/733
Appears in Collections:Pre-prints (Maths)

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