Alternative forms of the Harnack inequality for non-negative solutions to certain degenerate and singular parabolic equations

DOI10.4171/RLM/552zbMath1191.35080OpenAlexW2092363201MaRDI QIDQ1039877

Vincenzo Vespri, Ugo Gianazza, Emmanuele DiBenedetto

Publication date: 23 November 2009

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_abstract.php?issn=1120-6330&vol=20&iss=4&rank=5

zbMATH Keywords

degenerate and singular parabolic equationsHarnack estimatesequivalent formsredefined geometry

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Singular parabolic equations (35K67) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (8)

On the weak Harnack inequality for the parabolic p ( x )-Laplacian ⋮ Sharp regularity for evolutionary obstacle problems, interpolative geometries and removable sets ⋮ Elliptic Harnack's inequality for a singular nonlinear parabolic equation in non‐divergence form ⋮ Interior Harnack estimates: the state-of-the-art for quasilinear singular parabolic equations ⋮ Nonlinear potential estimates in parabolic problems ⋮ Nonlinear measure data problems ⋮ Liouville-type theorems for certain degenerate and singular parabolic equations ⋮ On Hölder continuity and equivalent formulation of intrinsic Harnack estimates for an anisotropic parabolic degenerate prototype equation

Cites Work

• Degenerate parabolic equations
• Harnack estimates for quasi-linear degenerate parabolic differential equations
• Sulla soluzione generalizzata di Wiener per il primo problema di valori al contorno nel caso parabolico
• Extension à l'équation de la chaleur d'un théorème de A. Harnack
• A harnack inequality for parabolic differential equations
• On a pointwise estimate for parabolic differential equations

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