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arXiv · 1402.7270

Aronson-B\'enilan estimates for the porous medium equation under the Ricci flow

Huai-Dong Cao·Meng Zhu
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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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Huai-Dong Cao, Meng Zhu. 2014-02-28. Aronson-B\'enilan estimates for the porous medium equation under the Ricci flow. https://arxiv.org/abs/1402.7270

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