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

Jun Dai; Shanjian Tang; Bingjie Wu

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arXiv · 1807.11769

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

Jun Dai·Shanjian Tang·Bingjie Wu

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Abstract

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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Jun Dai, Shanjian Tang, Bingjie Wu. 2018-07-31. Interior gradient and Hessian estimates for the Dirichlet problem of semi-linear degenerate elliptic systems: a probabilistic approach. https://arxiv.org/abs/1807.11769

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