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Blow-up rate of solutions of parabolic problems with nonlinear boundary conditions

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Publication:428423
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DOI10.3934/dcdss.2012.5.671zbMath1364.35175OpenAlexW2316751151MaRDI QIDQ428423

Philippe Souplet, Pavol Quittner

Publication date: 22 June 2012

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2012.5.671


zbMATH Keywords

blow-up ratea priori estimatenonlinear boundary conditionsparabolic


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Blow-up in context of PDEs (35B44) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91)


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Liouville theorems for scaling invariant superlinear parabolic problems with gradient structure ⋮ Blow-up rate for radially symmetric solutions of some parabolic equations with nonlinear boundary conditions ⋮ Non self-similar blow-up solutions to the heat equation with nonlinear boundary conditions ⋮ Boundary behavior of blowup solutions for a heat equation with a nonlinear boundary condition ⋮ Heat equation with a nonlinear boundary condition and uniformly local \(L^r\) spaces



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