Improved regularity for the inhomogeneous porous medium equation

DOI10.1016/J.JMAA.2020.124593zbMath1459.35063OpenAlexW3086284506MaRDI QIDQ2226363

Nicolau M. L. Diehl

Publication date: 12 February 2021

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.2020.124593

zbMATH Keywords

porous medium equationoptimal Hölder exponentsharp Hölder regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65) Quasilinear parabolic equations (35K59)

Related Items (1)

Geometric estimates for doubly nonlinear parabolic PDEs

Cites Work

• Optimal regularity for one-dimensional porous medium flow
• Gradient estimates for doubly nonlinear parabolic equations
• Sharp regularity for general Poisson equations with borderline sources
• Sharp regularity for the inhomogeneous porous medium equation
• Regularity for quasilinear equations on degenerate singular sets
• Universal moduli of continuity for solutions to fully nonlinear elliptic equations
• A geometric tangential approach to sharp regularity for degenerate evolution equations

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