Interior gradient and Hessian estimates for the Dirichlet problem of semi-linear degenerate elliptic systems: a probabilistic approach
Probability
2018-08-01 v1
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.
Keywords
Cite
@article{arxiv.1807.11769,
title = {Interior gradient and Hessian estimates for the Dirichlet problem of semi-linear degenerate elliptic systems: a probabilistic approach},
author = {Jun Dai and Shanjian Tang and Bingjie Wu},
journal= {arXiv preprint arXiv:1807.11769},
year = {2018}
}
Comments
accepted for publication in SCIENCE CHINA Mathematics