Local Aronson-Bénilan estimates for a weighted porous medium equation on Riemannian manifolds

DOI10.1016/j.jmaa.2012.03.018zbMath1246.35050OpenAlexW1976553994WikidataQ115346131 ScholiaQ115346131MaRDI QIDQ432342

Caisheng Liao, Xinrong Jiang

Publication date: 4 July 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.03.018

zbMATH Keywords

Riemannian manifoldporous medium equationAronson-Bénilan estimate

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Quasilinear parabolic equations (35K59)

Related Items (3)

Elliptic gradient estimates for a nonlinear equation with Dirichlet boundary condition ⋮ Regularizing effect of homogeneous evolution equations with perturbation ⋮ Gradient estimates and entropy monotonicity formula for doubly nonlinear diffusion equations on Riemannian manifolds

Cites Work

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• Comparison geometry for the Bakry-Emery Ricci tensor
• On the Bakry-Emery criterion for linear diffusions and weighted porous media equations
• Local Aronson-Bénilan estimates and entropy formulae for porous medium and fast diffusion equations on manifolds
• On the parabolic kernel of the Schrödinger operator
• Some geometric properties of the Bakry-Émery-Ricci tensor
• Liouville theorems for symmetric diffusion operators on complete Riemannian manifolds

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