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

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2019,（10）
• 页码范围: 1851-1886
• 页数: 36页
• 语种: 英文

摘要

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.