Gradient Estimates for a Nonlinear Diffusion Equation on Complete Manifolds

被引：0

作者：

Jiaxian WU ^{[1
]}

Qihua RUAN ^{[2
]}

Yihu YANG ^{[3
]}

机构：

[1] School of Mathematics and Statistics, Nanjing University of Information Science & Technology

[2] Department of Mathematics, Putian University

[3] Department of Mathematics, Shanghai Jiao Tong University

来源：

Chinese Annals of Mathematics(Series B) | 2015年 / 36卷 / 06期

关键词：

Gradient estimate; Bakry-Emery Ricci curvature; Nonlinear diffusion equation;

D O I：

暂无

中图分类号：

O186.12 [黎曼几何];

学科分类号：

070104 ;

摘要：

This paper deals with the gradient estimates of the Hamilton type for the positive solutions to the following nonlinear diffusion equation:u_t = △u +▽φ·▽u+a（x）uln u + b（x）u on a complete noncompact Riemannian manifold with a Bakry-Emery Ricci curvature bounded below by- K（K ≥ 0）,where φ is a C2 function,a（x） and b（x） are C1 functions with certain conditions.

引用

页码：1011 / 1018

页数：8

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