Blow-up analysis for a quasilinear parabolic equation with inner absorption and nonlinear Neumann boundary condition
type: Item
instance of: scholarly article
title: Blow-up analysis for a quasilinear parabolic equation with inner absorption and nonlinear Neumann boundary condition
zbMATH Open document ID: 1469.35126
DOI: 10.1155/2014/289245
author: Zhongbo Fang
author: Yan Chai
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We investigate an initial-boundary value problem for a quasilinear parabolic equation with inner absorption and nonlinear Neumann boundary condition. We establish, respectively, the conditions on nonlinearity to guarantee that \(u(x, t)\) exists globally or blows up at some finite time \(t^*\). Moreover, an upper bound for \(t^*\) is derived. Under somewhat more restrictive conditions, a lower bound for \(t^*\) is also obtained.
Mathematics Subject Classification ID: 35K59
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35K61
zbMATH DE Number: 7022099
Wikidata QID: Q59037705
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/289245
OpenAlex ID: W2124219025
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description: scientific article; zbMATH DE number 7022099