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

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

Year:    2011

Journal of Partial Differential Equations, Vol. 24 (2011), Iss. 4 : pp. 324–333

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Journal of Partial Differential Equations, Vol. 24 (2011), Iss. 4 : pp. 324–333

Published online:    2011-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Aronson-Bénilan estimate