Liouville-type theorems for certain degenerate and singular parabolic equations

DOI10.1016/j.crma.2010.06.019zbMath1198.35043OpenAlexW2073984113MaRDI QIDQ990239

Ugo Gianazza, Vincenzo Vespri, Emmanuele DiBenedetto

Publication date: 6 September 2010

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2158/391741

zbMATH Keywords

Harnack inequalities

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Quasilinear parabolic equations with (p)-Laplacian (35K92) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (6)

Liouville property for solutions of the linearized degenerate thin film equation of fourth order in a halfspace ⋮ Liouville rigidity and time-extrinsic Harnack estimates for an anisotropic slow diffusion ⋮ Regularity for degenerate evolution equations with strong absorption ⋮ On the Hölder regularity of signed solutions to a doubly nonlinear equation ⋮ Nonlinear fractional diffusion model for deblurring images with textures ⋮ An intrinsic Liouville theorem for degenerate parabolic equations

Cites Work

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• Harnack estimates for quasi-linear degenerate parabolic differential equations
• Liouville theorems in halfspaces for parabolic hypoelliptic equations
• Alternative forms of the Harnack inequality for non-negative solutions to certain degenerate and singular parabolic equations
• Phragmén-Lindelöf-type theorems and Liouville theorems for a linear parabolic equation
• Forward, backward and elliptic Harnack inequalities for non-negative solutions to certain singular parabolic partial differential equations
• A harnack inequality for parabolic differential equations

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