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Backward doubly stochastic differential equations and systems of quasilinear SPDEs. (English) Zbl 0792.60050
We introduce a new class of backward stochastic differential equations, which allows us to produce a probabilistic representation of certain quasilinear stochastic partial differential equations, thus extending the Feynman-Kac formula for linear SPDE’s.
Reviewer: E.Pardoux

60H10Stochastic ordinary differential equations
60H15Stochastic partial differential equations
60H30Applications of stochastic analysis
Full Text: DOI
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