The Neumann Boundary Problem for Elliptic Partial Differential Equations with Nonlinear Divergence Terms
Probability
2018-04-24 v1
Abstract
We prove the existence and uniqueness of weak solution of a Neumann boundary problem for an elliptic partial differential equation (PDE for short) with a singular divergence term which can only be understood in a weak sense. A probabilistic approach is applied by studying the backward stochastic differential equation (BSDE for short) corresponding to the PDE.
Keywords
Cite
@article{arxiv.1804.08469,
title = {The Neumann Boundary Problem for Elliptic Partial Differential Equations with Nonlinear Divergence Terms},
author = {Xue Yang and Jing Zhang},
journal= {arXiv preprint arXiv:1804.08469},
year = {2018}
}