Show simple item record

Profile for a Simultaneously Blowing up Solution to a Complex Valued Semilinear Heat Equation

dc.contributor.authorNouaili, Nejla
dc.contributor.authorZaag, Hatem
HAL ID: 178280
ORCID: 0000-0002-1038-1201
dc.date.accessioned2013-07-02T12:11:58Z
dc.date.available2013-07-02T12:11:58Z
dc.date.issued2015
dc.identifier.issn0360-5302
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/11505
dc.language.isoenen
dc.subjectSimultaneous blow-up
dc.subjectComplex heat equation
dc.subject.ddc515en
dc.titleProfile for a Simultaneously Blowing up Solution to a Complex Valued Semilinear Heat Equation
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherLaboratoire Analyse, Géométrie et Application (LAGA) http://www.math.univ-paris13.fr/laga/ CNRS : UMR7539 – Université Paris XIII - Paris Nord – Université Paris VIII - Vincennes Saint-Denis;France
dc.description.abstractenWe construct a solution to a complex nonlinear heat equation which blows up in finite time T only at one blow-up point. We also give a sharp description of its blow-up profile. The proof relies on the reduction of the problem to a finite dimensional one and the use of index theory to conclude. We note that the real and imaginary parts of the constructed solution blow up simultaneously, with the imaginary part dominated by the real.
dc.publisher.cityParisen
dc.relation.isversionofjnlnameCommunications in Partial Differential Equations
dc.relation.isversionofjnlvol40
dc.relation.isversionofjnlissue7
dc.relation.isversionofjnldate2015
dc.relation.isversionofjnlpages1197-1217
dc.relation.isversionofdoi10.1080/03605302.2015.1018997
dc.identifier.urlsitehttps://arxiv.org/abs/1306.4435v4
dc.relation.isversionofjnlpublisherMarcel Dekker
dc.subject.ddclabelAnalyseen
dc.description.submittednonen
dc.description.ssrncandidatenon
dc.description.halcandidateoui
dc.description.readershiprecherche
dc.description.audienceInternational
dc.relation.Isversionofjnlpeerreviewedoui
dc.date.updated2016-10-12T15:25:16Z


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record