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Aronson-Bénilan estimates for the porous medium equation under the Ricci flow
Published 28 Feb 2014 in math.DG and math.AP | (1402.7270v2)
Abstract: In this paper we study the porous medium equation (PME) coupled with the Ricci flow on complete manifolds with bounded nonnegative curvature operator. In particular, we derive Aronson-B\'enilan and Li-Yau-Hamilton type differential Harnack estimates for positive solutions to the PME, with a linear forcing term, under the Ricci flow.
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