Concerning the regularity of the anisotropic porous medium equation

DOI10.1016/j.jmaa.2010.10.077zbMath1213.35163OpenAlexW2022034412MaRDI QIDQ629230

Eurica Henriques

Publication date: 8 March 2011

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.2010.10.077

zbMATH Keywords

intrinsic scalinglocally bounded nonnegative weak solution

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Singular parabolic equations (35K67)

Related Items (7)

Riesz potentials and pointwise estimates of solutions to anisotropic porous medium equation ⋮ The well-posedness problem of an anisotropic porous medium equation with a convection term ⋮ Liouville rigidity and time-extrinsic Harnack estimates for an anisotropic slow diffusion ⋮ Anisotropic fast diffusion equations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Local continuity of singular anisotropic parabolic equations with variable growth

Cites Work

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• Regularity Propeties of Flows Through Porous Media
• Anisotropic diffusions with singular advections and absorptions. I: Existence
• Anisotropic diffusions with singular advections and absorptions. II: Uniqueness

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