Diffusivity versus absorption through the boundary
type: Item
instance of: scholarly article
title: Diffusivity versus absorption through the boundary
zbMATH Open document ID: 0761.35048
DOI: 10.1016/0022-0396(92)90024-H
author: Ján Filo
published in: Journal of Differential Equations
publication date: 1993-01-16T00:00:00Z
review text: In the rectangle \(0<x<1\), \(0<t<T\), the equation \((u^ m)_ t- u_{xx}=0\) is considered with positive given initial \(u\) and boundary conditions \(u_ x(0,t)=0\), \(u_ x(1,t)=u(1,t)\). The aim of the article is to extend to the general case \(m>0\) the results (of global solvability and blow up in finite time) already known for the heat equation \((m=1)\).
reviewed by: Guy Boillat
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 35K20
zbMATH DE Number: 93318
zbMATH Keywords: generalized heat equation
zbMATH Keywords: global solvability
zbMATH Keywords: blow-up
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 93318