The Cauchy problem for the fast \(p\)-Laplacian evolution equation. Characterization of the global Harnack principle and fine asymptotic behaviour

DOI10.1016/j.matpur.2022.05.002zbMath1492.35035arXiv2103.03312OpenAlexW3135454502WikidataQ114148568 ScholiaQ114148568MaRDI QIDQ2145831

Matteo Bonforte, Nikita Simonov, Diana Stan

Publication date: 15 June 2022

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.03312

zbMATH Keywords

\(p\)-Laplacian equationBarenblatt solutionfast diffusionparabolic Harnack inequalitiesglobal Harnack principlegradient decay estimatesuniform convergence in relative error

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic equations (35K15) Singular parabolic equations (35K67) Quasilinear parabolic equations with (p)-Laplacian (35K92) Self-similar solutions to PDEs (35C06)

Related Items

Fractional Burgers equation with singular initial condition, Functional inequalities and applications to doubly nonlinear diffusion equations, Fine properties of solutions to the Cauchy problem for a fast diffusion equation with Caffarelli-Kohn-Nirenberg weights

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