LocalAronson-Benilan Estimates for Porous Medium Equations under Ricci Flow

被引：1

作者：

Zhu, Xiaobao ^{[1
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China

来源：

JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2011年 / 24卷 / 04期

关键词：

Aronson-Benilan estimate; Porous medium equation; Ricci flow; Harnack inequality;

D O I：

10.4208/jpde.v24.n4.4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we derive local gradient estimates of the Aronson-Benilan type for positive solutions of porous medium equations under Ricci flow with bounded Ricci curvature. As an application, we derive a Harnack type inequality.

引用

页码：324 / 333

页数：10

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