Hamilton's gradient estimates of porous medium and fast diffusion equations

被引：10

作者：

Huang, Guangyue ^{[1
]}

Ma, Bingqing ^{[1
]}

机构：

[1] Henan Normal Univ, Dept Math, Xinxiang 453007, Peoples R China

来源：

GEOMETRIAE DEDICATA | 2017年 / 188卷 / 01期

关键词：

Gradient estimate; Porous medium equation; Fast diffusion equation; Liouville-type theorem; ENTROPY FORMULAS;

D O I：

10.1007/s10711-016-0201-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider Hamilton type gradient estimates of porous medium and fast diffusion equations u(t) = Delta u(p). For n >= 7, we derive a local gradient estimate for positive solutions of fast diffusion equation which generalizes a result of Zhu (Proc Am Math Soc 139:1637-1644, 2011).

引用

页码：1 / 16

页数：16

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