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.
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页码：156 / 164
页数：9
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