An introduction to Barenblatt solutions for anisotropic \(p\)-Laplace equations

DOI10.1007/978-3-030-61346-4_5zbMath1461.35141arXiv2012.12327OpenAlexW3114902263MaRDI QIDQ2662135

S. Ciani, Vincenzo Vespri

Publication date: 9 April 2021

Full work available at URL: https://arxiv.org/abs/2012.12327

zbMATH Keywords

self-similarityBarenblatt fundamental solutiondegenerate orthotropic parabolic equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (7)

Existence and global second-order regularity for anisotropic parabolic equations with variable growth ⋮ Parabolic Harnack estimates for anisotropic slow diffusion ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Anisotropic \(p\)-Laplacian evolution of fast diffusion type ⋮ Long time behavior of a parabolic \(p\)-Laplacian equation coupled to a compartmental ODE system with an induction threshold phenomenon ⋮ On Hölder continuity and equivalent formulation of intrinsic Harnack estimates for an anisotropic parabolic degenerate prototype equation

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