Blow-up solutions and global solutions for nonlinear parabolic problems

This paper deals with the blow-up of positive solutions for a nonlinear parabolic equation subject to nonlinear boundary conditions. We obtain the conditions under which the solutions may exist globally or blow up in a finite time, by a new approach. Moreover, upper estimates of the “blow-up time”,...

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Veröffentlicht in:	Nonlinear analysis 2008-12, Vol.69 (12), p.4567-4574
1. Verfasser:	Zhang, Hailiang
Format:	Artikel
Sprache:	eng
Schlagworte:	Blow-up solution Exact sciences and technology Global solution Mathematical analysis Mathematics Maximum principle Method of upper and lower solutions Nonlinear parabolic equation Partial differential equations Sciences and techniques of general use
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	This paper deals with the blow-up of positive solutions for a nonlinear parabolic equation subject to nonlinear boundary conditions. We obtain the conditions under which the solutions may exist globally or blow up in a finite time, by a new approach. Moreover, upper estimates of the “blow-up time”, blow-up rate and global solutions are obtained also.
ISSN:	0362-546X 1873-5215
DOI:	10.1016/j.na.2007.11.013