Local Aronson-Bénilan Estimates for Porous Medium Equations under Ricci Flow

Local Aronson-Bénilan Estimates for Porous

Medium Equations under Ricci Flow

ZHU Xiaobao

【期刊名称】《偏微分方程：英文版》 【年(卷),期】2011(024)004

【摘要】In this work we derive local gradient estimates of the Aronson-Bénilan type for positive solutions of porous medium equations under Ricci flow with bounded Ricci curvature.As an application,we derive a Harnack type inequality. 【总页数】10页(324-333) 【关键词】

【作者】ZHU Xiaobao

【作者单位】Institute of Mathematics, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100190, China. 【正文语种】中文

【中图分类】O175.29;O186.12 【相关文献】

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2.EXISTENCE AND UNIQUENESS OF BV SOLUTIONS FOR THE POROUS MEDIUM EQUATION WITH DIRAC MEASURE AS SOURCES [J], Yuan