Diffusion versus absorption in semilinear parabolic problems

DOI10.1016/J.CRMA.2006.01.021zbMath1101.35042OpenAlexW2028313571MaRDI QIDQ2499648

Laurent Véron, Andrey E. Shishkov

Publication date: 14 August 2006

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2006.01.021

zbMATH Keywords

maximal solutionlimit functionsingle singularity

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Fundamental solutions to PDEs (35A08) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Cites Work

• A very singular solution of the heat equation with absorption
• A very singular solution of the porous media equation with absorption
• THE METHOD OF INTRODUCING A PARAMETER IN THE STUDY OF EVOLUTIONARY EQUATIONS
• Saint-Venant's principle in blow-up for higher-order quasilinear parabolic equations
• Initial trace of positive solutions to semilinear parabolic inequalities
• Dead cores and instantaneous compactification of the supports of energy solutions of quasilinear parabolic equations of arbitrary order

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