Subpotential lower bounds for nonnegative solutions to certain quasi-linear degenerate parabolic equations

DOI10.1215/00127094-2008-013zbMath1170.35054OpenAlexW2031383248MaRDI QIDQ927316

Vincenzo Vespri, Emmanuele DiBenedetto, Ugo Gianazza

Publication date: 5 June 2008

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/5fd2a3b40cab680bdf7fc19c08b0119837ce5b3f

zbMATH Keywords

Harnack inequalitynonnegative solutionsquasilinear degenerate parabolic equationssubpotential lower bounds

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Quasilinear parabolic equations (35K59)

Related Items (10)

Interior Harnack estimates: the state-of-the-art for quasilinear singular parabolic equations ⋮ On the weak Harnack estimate for nonlocal equations ⋮ Intrinsic Harnack inequalities for quasi-linear singular parabolic partial differential equation ⋮ Geometric Tangential Analysis and Sharp Regularity for Degenerate pdes ⋮ Moser-Nash kernel estimates for degenerate parabolic equations ⋮ A strong maximum principle for parabolic equations with the \(p\)-Laplacian ⋮ Local smoothing effects, positivity, and Harnack inequalities for the fast \(p\)-Laplacian equation ⋮ Existence for a degenerate Cauchy problem ⋮ Backward estimates for nonnegative solutions to a class of singular parabolic equations ⋮ Harnack estimates at large: sharp pointwise estimates for nonnegative solutions to a class of singular parabolic equations

Cites Work

• Unnamed Item
• Degenerate parabolic equations
• Intrinsic Harnack type inequalities for solutions of certain degenerate parabolic equations
• Harnack estimates for quasi-linear degenerate parabolic differential equations
• On the Cauchy Problem and Initial Traces for a Degenerate Parabolic Equation
• A harnack inequality for parabolic differential equations

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