On the local behavior of non-negative solutions to a logarithmically singular equation

DOI10.3934/DCDSB.2012.17.1841zbMath1255.35025OpenAlexW2323819119MaRDI QIDQ449283

Emmanuele DiBenedetto, Naian Liao, Ugo Gianazza

Publication date: 12 September 2012

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2012.17.1841

zbMATH Keywords

porous medium equationintrinsic geometryexpansion of positivityHarnack-type estimateslocal positivity of solutionslogarithmic diffusion

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) A priori estimates in context of PDEs (35B45) Positive solutions to PDEs (35B09) Singular parabolic equations (35K67)

Related Items (6)

Stability to a class of doubly nonlinear very singular parabolic equations ⋮ On a model for the evolution of morphogens in a growing tissue II: \(\theta = \log (2)\) case ⋮ Logarithmically singular parabolic equations as limits of the porous medium equation ⋮ Unnamed Item ⋮ Regularity results for a class of doubly nonlinear very singular parabolic equations ⋮ Existence and nonexistence of solutions to a logarithmic diffusion equation in bounded domains

This page was built for publication: On the local behavior of non-negative solutions to a logarithmically singular equation