On maximum and comparison principles for parabolic problems with the \(p\)-Laplacian

DOI10.1007/s13398-018-0536-6zbMath1416.35056arXiv1803.09562OpenAlexW3104031063MaRDI QIDQ2314653

Peter Takáč, Vladimir Bobkov

Publication date: 29 July 2019

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.09562

zbMATH Keywords

fast diffusionslow diffusionstrong and weak versions

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Maximum principles in context of PDEs (35B50) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Quasilinear parabolic equations with (p)-Laplacian (35K92) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Comparison principles in context of PDEs (35B51)

Related Items (6)

Convergence rate analysis of Galerkin approximation of inverse potential problem ⋮ Anisotropic \(p\)-Laplacian evolution of fast diffusion type ⋮ The strong comparison principle in parabolic problems with the \(p\)-Laplacian in a domain ⋮ A note on comparison principle for \(p\)-Laplacian evolution type equation ⋮ Equivalence of viscosity and weak solutions for a \(p\)-parabolic equation ⋮ Long time behavior of a parabolic \(p\)-Laplacian equation coupled to a compartmental ODE system with an induction threshold phenomenon

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