Blow-up behavior for a semilinear heat equation with a nonlinear boundary condition

DOI10.2748/TMJ/1113247131zbMath1052.35101OpenAlexW2109231099MaRDI QIDQ1876286

Je-Chiang Tsai, Sheng-Chen Fu, Jong-Shenq Guo

Publication date: 16 August 2004

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1113247131

zbMATH Keywords

blow-up pointblow-up timeGiga-Kohn method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60)

Related Items (7)

Asymptotic behavior for a reaction-diffusion equation with inner absorption and boundary flux ⋮ Asymptotic properties of blow-up solutions in reaction-diffusion equations with nonlocal boundary flux ⋮ Precise bounds for finite time blowup of solutions to very general one-space-dimensional nonlinear Neumann problems ⋮ Blow up for non-Newtonian equations with two nonlinear sources ⋮ Non-simultaneous blow-up for a multi-coupled reaction-diffusion system ⋮ The quenching behavior of a semilinear heat equation with a singular boundary outflux ⋮ Blow-up for a semilinear reaction-diffusion system coupled in both equations and boundary conditions.

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• Asymptotic simplification for a reaction-diffusion problem with a nonlinear boundary condition
• The blow‐up rate for the heat equation with a non‐linear boundary condition
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