Harnack estimates for a kind of porous medium equation

DOI10.1016/J.AML.2020.106978zbMath1459.35056OpenAlexW3113816383MaRDI QIDQ1996368

Feida Jiang, Xinyi Shen, Hui Wu

Publication date: 4 March 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106978

zbMATH Keywords

one space dimensionLi-Yau-Hamilton-type estimates

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Maximum principles in context of PDEs (35B50) A priori estimates in context of PDEs (35B45) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Quasilinear parabolic equations (35K59)

Cites Work

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• The Harnack estimate for the Ricci flow
• The value of the critical exponent for reaction-diffusion equations in cones
• On the parabolic kernel of the Schrödinger operator
• A matrix Harnack estimate for the heat equation
• Contraction of convex hypersurfaces in Euclidean space
• Harnack inequalities for evolving hypersurfaces
• Critical exponent for the parabolic equation u \(t = \delta u ^m + h (t)u ^p\) in a cone

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