An Interior Gradient Estimate for a class of Second Order Partial Differential Inequalities

Details An Interior Gradient Estimate for a class of Second Order Partial Differential Inequalities An Interior Gradient Estimate for a class of Second Order Partial Differential Inequalities

2010-12-19

arxiv.org/abs/1012.4142v1

Mathematics

Analysis of PDEs

Accepted for the publication by Differential and Integral Equations (13/10/1997)

Scientific paper

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.

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