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March 2020 Gradient estimates of a general porous medium equation for the V-Laplacian
Hongbing Qiu
Kodai Math. J. 43(1): 16-41 (March 2020). DOI: 10.2996/kmj/1584345686

Abstract

In this paper, we consider the gradient estimates for the positive solutions to the following porous medium equation

$u_t = \Delta_V u^m$,

where $m>1$. We obtain Li-Yau type bounds of the above equation on Riemannian manifolds with Bakry-Emery type curvature bounded from below, which improves the estimates in [25] and covers the ones in [22, 18, 19, 27].

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Hongbing Qiu. "Gradient estimates of a general porous medium equation for the V-Laplacian." Kodai Math. J. 43 (1) 16 - 41, March 2020. https://doi.org/10.2996/kmj/1584345686

Information

Published: March 2020
First available in Project Euclid: 16 March 2020

zbMATH: 07196508
MathSciNet: MR4077203
Digital Object Identifier: 10.2996/kmj/1584345686

Rights: Copyright © 2020 Tokyo Institute of Technology, Department of Mathematics

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Vol.43 • No. 1 • March 2020
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