Existence and Uniqueness of Invariant Measures for SPDEs with Two Reflecting Walls
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In this article, we study stochastic partial differential equations with two reflecting walls h 1 and h 2, driven by space-time white noise with non-constant diffusion coefficients under periodic boundary conditions. The existence and uniqueness of invariant measures is established under appropriate conditions. The strong Feller property is also obtained.
KeywordsStochastic partial differential equations with two reflecting walls White noise Heat equation Invariant measures Coupling Strong Feller property
Mathematics Subject Classification60H15 60J35
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