The balance between diffusion and absorption in semilinear parabolic equations

DOI10.4171/RLM/481zbMath1139.35366arXiv0805.3789OpenAlexW2952909654MaRDI QIDQ931039

Laurent Véron, Andrey E. Shishkov

Publication date: 24 June 2008

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.3789

zbMATH Keywords

Saint-Venant principleAsymptotic expansionsParabolic equationsVery singular solutions

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60)

Related Items (max. 100)

Large and very singular solutions to semilinear elliptic equations ⋮ Initial trace of solutions of semilinear heat equations with absorption ⋮ Fading absorption in non-linear elliptic equations ⋮ On the absence of global solutions of a class of higher-order evolution inequalities ⋮ On large time behavior of solutions of higher order evolution inequalities with fast diffusion ⋮ Singular solutions of some nonlinear parabolic equations with spatially inhomogeneous absorption ⋮ Diffusion versus absorption in semilinear elliptic equations ⋮ Initial evolution of supports of solutions of quasilinear parabolic equations with degenerate absorption potential

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