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

Authors

  • Xiaobao Zhu

DOI:

https://doi.org/10.4208/jpde.v24.n4.4

Keywords:

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

Abstract

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.

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Published

2020-05-12

Issue

Vol. 24 No. 4 (2011)

Section

Articles