Growth estimates and blow-up in quasilinear parabolic problems

Growth estimate of positive solution for a quasilinear parabolic equation subject to Robin boundary condition is presented by the maximum principles. The growth estimate is then used to study blow-up of the solution of the problem. The bounds of 'blow-up time' and blow-up rate are obtained...

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Bibliographic Details
Published inApplicable analysis Vol. 86; no. 2; pp. 261 - 268
Main Authors Zhang, Hailiang, Liu, Zengrong, Zhang, Wu
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 01.02.2007
Subjects
2000 Mathematics Subject Classifications: 35k55
Blow-up
Growth estimate
Maximum principle
Quasilinear parabolic equation
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Summary:Growth estimate of positive solution for a quasilinear parabolic equation subject to Robin boundary condition is presented by the maximum principles. The growth estimate is then used to study blow-up of the solution of the problem. The bounds of 'blow-up time' and blow-up rate are obtained.
ISSN:0003-6811
1563-504X
DOI:10.1080/00036810601162027