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One barrier reflected backward doubly stochastic differential equations with continuous generator. (English. Abridged French version) Zbl 1176.60041
Summary: We prove the existence and uniqueness of solutions to Reflected Backward Doubly Stochastic Differential Equations (RBDSDEs) with one continuous barrier and uniformly Lipschitz coefficients. The existence of a maximal and a minimal solution for RBDSDEs with continuous generator is also established.

MSC:
60H10 Stochastic ordinary differential equations (aspects of stochastic analysis)
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