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arxiv: 1804.09038 · v1 · pith:PDXXA2PInew · submitted 2018-04-22 · 🧮 math.PR

The Obstacle Problem for Quasilinear Stochastic Integral-Partial Differential Equations

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keywords differentialequationsintegral-partialobstacleproblemquasilinearstochasticbackward
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We prove an existence and uniqueness result for the obstacle problem for quasilinear stochastic integral-partial differential equations. Our method is based on the probabilistic interpretation of the solution using backward doubly SDEs with jumps.

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