Sharp boundedness and continuity results for the singular porous medium equation

DOI10.1007/s11856-016-1360-3zbMath1372.35168OpenAlexW2508400206MaRDI QIDQ312269

Frank Duzaar, Verena Bögelein, Ugo Gianazza

Publication date: 15 September 2016

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-016-1360-3

zbMATH Keywords

parabolic partial differential equationsregularity conditionssingular porous medium equationweak energy solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Singular parabolic equations (35K67)

Related Items

Degenerate and Singular Porous Medium Type Equations with Measure Data, Riesz potentials and pointwise estimates of solutions to anisotropic porous medium equation, Keller-Osserman a priori estimates and the Harnack inequality for the evolution \(p\)-Laplace equation with singular absorption term, Harnack's inequality for porous medium equation with singular absorption term, Pointwise estimates of solutions to the weighted porous medium equation and the fast diffusion one via weighted Riesz potentials, Pointwise estimates via parabolic potentials for a class of doubly nonlinear parabolic equations with measure data, On the continuity of solutions of the equations of a porous medium and the fast diffusion with weighted and singular lower-order terms

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