Regularity for the porous medium equation with variable exponent: The singular case

DOI10.1016/J.JDE.2007.12.015zbMath1157.35020OpenAlexW2010948986MaRDI QIDQ924840

Eurica Henriques

Publication date: 19 May 2008

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2007.12.015

zbMATH Keywords

regularityporous medium equationlocal weak solutionintrinsic scalingsingular case

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65)

Related Items (5)

Harnack's inequality and the strong \(p(\cdot )\)-Laplacian ⋮ Concerning the regularity of the anisotropic porous medium equation ⋮ Unnamed Item ⋮ Regularity of \(p(\cdot)\)-superharmonic functions, the Kellogg property and semiregular boundary points ⋮ The porous medium equation with variable exponent revisited

Cites Work

• Degenerate parabolic equations
• A model porous medium equation with variable exponent of nonlinearity: existence, uniqueness and localization properties of solutions
• Intrinsic scaling for PDEs with an exponential nonlinearity
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