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Stochastic PDEs and infinite horizon backward doubly stochastic differential equations - MaRDI portal

Stochastic PDEs and infinite horizon backward doubly stochastic differential equations (Q1952890)

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scientific article; zbMATH DE number 6169941
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Stochastic PDEs and infinite horizon backward doubly stochastic differential equations
scientific article; zbMATH DE number 6169941

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    Stochastic PDEs and infinite horizon backward doubly stochastic differential equations (English)
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    3 June 2013
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    Summary: We give a sufficient condition on the coefficients of a class of infinite horizon BDSDEs, under which the infinite horizon BDSDEs have a unique solution for any given square integrable terminal values. We also show continuous dependence theorem and convergence theorem for this kind of equations. A probabilistic interpretation for solutions to a class of stochastic partial differential equations is given.
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