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.
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页码：324 / 333
页数：10
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