Complete and energy blow-up in parabolic problems with nonlinear boundary conditions

DOI10.1016/j.na.2005.03.099zbMath1074.35060OpenAlexW1985089824MaRDI QIDQ2488262

Pavol Quittner, Aníbal Rodgriguez-Bernal

Publication date: 25 August 2005

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://eprints.ucm.es/id/eprint/12770/1/2005complete-11.pdf

zbMATH Keywords

nonlinear boundary conditiona priori estimatecomplete blow upproper minimal solutionsuperlinear parabolic problem

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (6)

Global existence and blow-up results for \(p\)-Laplacian parabolic problems under nonlinear boundary conditions ⋮ Heat equation with an exponential nonlinear boundary condition in the half space ⋮ Global solutions of the heat equation with a nonlinear boundary condition ⋮ Asymptotic regularity and attractors of the reaction-diffusion equation with nonlinear boundary condition ⋮ Transient behavior of solutions to a class of nonlinear boundary value problems ⋮ Attractors of the non-autonomous reaction-diffusion equation with nonlinear boundary condition

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