Hamilton's gradient estimates for fast diffusion equations under the Ricci flow

被引：4

作者：

Li, Hailong ^{[1
]}

Bai, Haibo ^{[2
]}

Zhang, Guangying ^{[3
]}

机构：

[1] China Univ Min & Technol, State Key Lab Geomech & Deep Underground Engn, Xuzhou 221008, Jiangsu, Peoples R China

[2] China Univ Min & Technol, Sch Mech & Civil Engn, State Key Lab Geomech & Deep Underground Engn, Xuzhou 221008, Jiangsu, Peoples R China

[3] China Univ Min & Technol, Dept Math, Xuzhou 221008, Jiangsu, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 444卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Fast diffusion equation; Ricci flow; Gradient estimates; Hamilton inequality;

D O I：

10.1016/j.jmaa.2016.07.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let M be a complete noncompact Riemannian manifold of dimension n. We derive a Hamilton's gradient estimate for positive solutions of the fast diffusion equations partial derivative u/partial derivative t = Delta u(m), 1 - 4/n + 8 < m < 1 on M x (-infinity, 0] under the Ricci flow. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：1372 / 1379

页数：8

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