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Blow-up of positive solutions of a semilinear parabolic equation with a gradient term
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posted on 2023-06-07, 23:41 authored by Miroslav ChlebikMiroslav Chlebik, Marek Fila, Pavol QuittnerWe study the blow-up behavior (in time and space) of positive solutions of a semilinear parabolic equation with a gradient term. Our main result is a sharp estimate for the spatial blow-up profile of radially decreasing solutions on a ball. This result illustrates the influence of the gradient term on the profile.
History
Publication status
- Published
Journal
Dynamics of Continuous Discrete and Impulsive SystemsISSN
1201-3390Publisher
Watam PressPublisher URL
Issue
4Volume
10Page range
525-537Pages
13.0Department affiliated with
- Mathematics Publications
Notes
Abstract: http://online.watsci.org/abstract_pdf/2003v10/v10n4a/pdffile/3.pdfFull text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2012-02-06Usage metrics
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