Gradient estimates for doubly nonlinear diffusion equations

被引：11

作者：

Chen, Daguang ^{[1
]}

Xiong, Changwei ^{[1
]}

机构：

[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2015年 / 112卷

关键词：

Doubly nonlinear diffusion equation; Gradient estimate; Harnack inequalities; HARNACK INEQUALITY;

D O I：

10.1016/j.na.2014.08.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this short note we obtain some gradient estimates for the positive solution to the doubly nonlinear diffusion equation on closed Riemannian manifold with Ricci curvature bounded below by a non-positive constant. As applications, we also derive corresponding Harnack inequalities. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：156 / 164

页数：9