Hamilton-Souplet-Zhang's Gradient Estimates for Two Types of Nonlinear Parabolic Equations under the Ricci Flow

被引：8

作者：

Huang, Guangyue ^{[1
]}

Ma, Bingqing ^{[2
]}

机构：

[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China

[2] Henan Normal Univ, Coll Math & Informat Sci, Henan Engn Lab Big Data Stat Anal & Optimal Contr, Xinxiang 453007, Henan, Peoples R China

来源：

JOURNAL OF FUNCTION SPACES | 2016年 / 2016卷

关键词：

HEAT-EQUATION; KERNEL;

D O I：

10.1155/2016/2894207

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider gradient estimates for two types of nonlinear parabolic equations under the Ricci flow: one is the equation u(t) = Delta u + au log u + bu with a, b being two real constants; the other is u(t) = Delta u + lambda u(alpha) with lambda, alpha being two real constants. By a suitable scaling for the above two equations, we obtain Hamilton-Souplet-Zhang-type gradient estimates.

引用

页数：7

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