Structure of boundary blow-up for higher-order quasilinear parabolic equations

DOI10.1098/RSPA.2004.1297zbMath1078.35043OpenAlexW2120956834MaRDI QIDQ3024614

Victor A. Galaktionov, Andrey E. Shishkov

Publication date: 1 July 2005

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2004.1297

zbMATH Keywords

boundary blow-uphigher order parabolic equationglobal and regional blow up

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial-boundary value problems for higher-order parabolic equations (35K35) Singularity in context of PDEs (35A21)

Related Items (5)

Behavior of blow-up solutions for quasilinear parabolic equations ⋮ Limiting profile of solutions of quasilinear parabolic equations with flat peaking ⋮ Quasilinear parabolic equations with a degenerate absorption potential ⋮ Localized blow-up regimes for quasilinear doubly degenerate parabolic equations ⋮ Method of energy estimates for the study of a behavior of weak solutions of the equation of slow diffusion with singular boundary data

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