Global, Unbounded Solutions to a Parabolic Equation

Lacey, AA; Tzanetis, DE

dc.contributor.author	Lacey, AA	en
dc.contributor.author	Tzanetis, DE	en
dc.date.accessioned	2014-03-01T01:09:25Z
dc.date.available	2014-03-01T01:09:25Z
dc.date.issued	1993	en
dc.identifier.issn	0022-0396	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10969
dc.subject.classification	Mathematics	en
dc.subject.other	SEMILINEAR HEAT-EQUATION	en
dc.subject.other	COMPLETE BLOW-UP	en
dc.subject.other	EXISTENCE	en
dc.title	Global, Unbounded Solutions to a Parabolic Equation	en
heal.type	journalArticle	en
heal.identifier.primary	10.1006/jdeq.1993.1006	en
heal.identifier.secondary	http://dx.doi.org/10.1006/jdeq.1993.1006	en
heal.language	English	en
heal.publicationDate	1993	en
heal.abstract	Nonlinear parabolic equations of the form ut = Δu + f{hook}(u) and which are capable of exhibiting blow-up are considered. We find that if there is a unique steady state then it is possible to choose initial conditions so that the solution is unbouded but exists, at least in a weak sense, for all time. For more restricted problems, e.g., f{hook}(u) = eu in three dimensions, we find some particular solutions to the equation which blow up at a finite time but continue to exist afterwards. © 1993 Academic Press. All rights reserved.	en
heal.publisher	ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS	en
heal.journalName	Journal of Differential Equations	en
dc.identifier.doi	10.1006/jdeq.1993.1006	en
dc.identifier.isi	ISI:A1993KJ78400006	en
dc.identifier.volume	101	en
dc.identifier.issue	1	en
dc.identifier.spage	80	en
dc.identifier.epage	102	en