Blow-up behavior for a semilinear heat equation with a nonlinear boundary condition
type: Item
instance of: scholarly article
title: Blow-up behavior for a semilinear heat equation with a nonlinear boundary condition
zbMATH Open document ID: 1052.35101
author: Sheng-Chen Fu
author: Jong-Shenq Guo
author: Je-Chiang Tsai
published in: Tôhoku Mathematical Journal. Second Series
publication date: 2004-08-16T00:00:00Z
review text: The authors study the blow-up behaviors of solutions of a semilinear heat equation with a nonlinear boundary condition. Under certain conditions they prove that the blow-up point occurs only at the boundary. Applying the Giga-Kohn method they derive the time asymptotic of solutions near the blow-up time. Finally, it is proved that the blow-up is complete.
Mathematics Subject Classification ID: 35K60
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 2091877
zbMATH Keywords: blow-up point
zbMATH Keywords: blow-up time
zbMATH Keywords: Giga-Kohn method
reviewed by: Lubomira Softova
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2748/tmj/1113247131
OpenAlex ID: W2109231099
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DOI: 10.2748/TMJ/1113247131
description: scientific article; zbMATH DE number 2091877