Continuity estimates for porous medium type equations with measure data

DOI10.1016/j.jfa.2014.08.014zbMath1304.35146OpenAlexW1987481800MaRDI QIDQ457647

Frank Duzaar, Ugo Gianazza, Verena Bögelein

Publication date: 29 September 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2014.08.014

zbMATH Keywords

Riesz potentialborderline condition

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Potentials and capacities, extremal length and related notions in higher dimensions (31B15) Quasilinear parabolic equations (35K59)

Related Items (12)

Degenerate and Singular Porous Medium Type Equations with Measure Data ⋮ Riesz potentials and pointwise estimates of solutions to anisotropic porous medium equation ⋮ Sharp boundedness and continuity results for the singular porous medium equation ⋮ Existence and uniqueness of solutions for a class of doubly degenerate parabolic equations ⋮ Gradient estimates via the Wolff potentials for a class of quasilinear elliptic equations ⋮ Keller-Osserman a priori estimates and the Harnack inequality for the evolution \(p\)-Laplace equation with singular absorption term ⋮ Optimal regularity for the porous medium equation ⋮ 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 ⋮ Weighted Lorentz gradient estimates for a class of quasilinear elliptic 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 ⋮ On the Hölder regularity for obstacle problems to porous medium type equations

Cites Work

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• Pointwise estimates for solutions to the porous medium equation with measure as a forcing term
• On L(p,q) spaces
• Gradient estimates via non-linear potentials
• Hölder estimates for nonlinear degenerate parabolic sytems.
• Porous Medium Type Equations with Measure Data and Potential Estimates

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