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Pathwise stationary solutions of stochastic differential equations and backward doubly stochastic differential equations on infinite horizon

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preprint
posted on 31.01.2006, 17:34 authored by Qi Zhang, Huaizhong Zhao
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.

History

School

  • Science

Department

  • Mathematical Sciences

Pages

291836 bytes

Publication date

2006

Notes

This is a pre-print.

Language

en