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arxiv: 1005.2500 · v1 · submitted 2010-05-14 · 🧮 math.PR

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A Class of Backward Doubly Stochastic Differential Equations with Discontinuous Coefficients

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keywords backwarddifferentialdiscontinuousequationsstochasticassociatedbdsdesclass
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In this work the existence of solutions of one-dimensional backward dou- bly stochastic differential equations (BDSDEs in short) where the coefficient is left-Lipschitz in y (may be discontinuous) and Lipschitz in z is studied. Also, the associated comparison theorem is obtained.

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