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arxiv: 1807.11769 · v1 · pith:JVZZFACYnew · submitted 2018-07-31 · 🧮 math.PR

Interior gradient and Hessian estimates for the Dirichlet problem of semi-linear degenerate elliptic systems: a probabilistic approach

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keywords degeneratedifferentialellipticequationsestimatesgradienthessianinterior
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In this paper, we give interior gradient and Hessian estimates for systems of semi-linear degenerate elliptic partial differential equations on bounded domains, using both tools of backward stochastic differential equations and quasi-derivatives.

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