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On backward stochastic differential equations in infinite dimensions

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  • In the present paper we present a result in which probabilistic methods are used to prove existence and uniqueness of a backward partial differential equation in a Hilbert space. This equation is of the form (7) in Theorem 1.1 below. In particular semi-linear conditions on the coefficient $f$ are imposed.
    Mathematics Subject Classification: Primary: 60H20, 60J25; Secondary: 47D08, 49L25.

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