Local Aronson-Bénilan estimates and entropy formulae for porous medium and fast diffusion equations on manifolds

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dc.creatorLu, Peng
dc.creatorNi, Lei
dc.creatorVázquez, Juan-Luis
dc.creatorVillani, Cédric
dc.date2008-06-06
dc.date.accessioned2026-07-07T09:43:06Z
dc.date.available2026-07-07T09:43:06Z
dc.descriptionIn this work we derive local gradient and Laplacian estimates of the Aronson-Bénilan and Li-Yau type for positive solutions of porous medium equations posed on Riemannian manifolds with a lower Ricci curvature bound. We also prove similar results for some fast diffusion equations. Inspired by Perelman's work we discover some new entropy formulae for these equations.
dc.description22 pages, no figure
dc.identifierhttps://arxiv.org/abs/0806.1142
dc.identifierhttp://arxiv.org/abs/0806.1142
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162428
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject53C44; 58J35
dc.titleLocal Aronson-Bénilan estimates and entropy formulae for porous medium and fast diffusion equations on manifolds
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