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arxiv: 1804.08478 · v2 · pith:Y55RNLLDnew · submitted 2018-04-23 · 🧮 math.PR

Systems of Reflected Stochastic PDEs in a Convex Domain: Analytical Approach

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keywords analyticalapproachconvexdomainspdesstochasticsystemsapproximation
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In this paper, we establish an existence and uniqueness result for system of quasilinear stochastic partial differential equations (SPDEs for short) with reflection in a convex domain in R^k by analytical approach. The method is based on the approximation of the penalized systems of SPDEs.

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