Blow-up on the boundary for the heat equation

DOI10.1007/s005260050005zbMath0939.35098OpenAlexW1988731004WikidataQ115387804 ScholiaQ115387804MaRDI QIDQ1964691

Ján Filo, Marek Fila, Gary M. Lieberman

Publication date: 26 June 2000

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s005260050005

zbMATH Keywords

nonlinear boundary condition

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) 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 (8)

Solvability to some strongly degenerate parabolic problems ⋮ Global solutions of the heat equation with a nonlinear boundary condition ⋮ Blow-up analysis for a system of heat equations with nonlinear flux which obey different laws ⋮ Regional blow-up for a doubly nonlinear parabolic equation with a nonlinear boundary condition ⋮ Transient behavior of solutions to a class of nonlinear boundary value problems ⋮ NON WELL POSEDNESS OF PARABOLIC EQUATIONS WITH SUPERCRITICAL NONLINEARITIES ⋮ Blow-up rate estimates for a doubly coupled reaction-diffusion system ⋮ Blowup rate for heat equation in Lipschitz domains with nonlinear heat source terms on the boundary

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