An Interior Gradient Estimate for a class of Second Order Partial Differential Inequalities
Analysis of PDEs
2010-12-21 v1
Abstract
A uniform gradient for functions u which satisfy a system of N second-order partial differential inequalities is given in this paper. Some structure conditions are given for the coefficients of the matrices of second-order terms and of first-order terms. This result can be applied to study the gradient estimate of a class of second-order degenerate elliptic partial differential equations.
Cite
@article{arxiv.1012.4142,
title = {An Interior Gradient Estimate for a class of Second Order Partial Differential Inequalities},
author = {M. Arisawa},
journal= {arXiv preprint arXiv:1012.4142},
year = {2010}
}
Comments
Accepted for the publication by Differential and Integral Equations (13/10/1997)