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dc.contributor.authorMahmoudi, Fethi
dc.contributor.authorNouaili, Nejla
dc.contributor.authorHatem, Zaag
dc.date.accessioned2017-11-24T13:57:48Z
dc.date.available2017-11-24T13:57:48Z
dc.date.issued2016
dc.identifier.issn0362-546X
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/17038
dc.language.isoenen
dc.subjectperiodic semilinear heat equation
dc.subjectBlow-up profile
dc.subject.ddc515en
dc.titleConstruction of a stable periodic solution to a semilinear heat equation with a prescribed profile
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe construct a periodic solution to the semilinear heat equation with power nonlinearity, in one space dimension, 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. Thanks to the geometrical interpretation of the finite-dimensional parameters in terms of the blow-up time and blow-up point, we derive the stability of the constructed solution with respect to initial data.
dc.relation.isversionofjnlnameNonlinear Analysis. Theory, Methods & Applications
dc.relation.isversionofjnlvol131
dc.relation.isversionofjnldate2016
dc.relation.isversionofjnlpages300–324
dc.relation.isversionofdoi10.1016/j.na.2015.09.002
dc.relation.isversionofjnlpublisherPergamon Press
dc.subject.ddclabelAnalyseen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen
dc.description.ssrncandidatenon
dc.description.halcandidatenon
dc.description.readershiprecherche
dc.description.audienceInternational
dc.relation.Isversionofjnlpeerreviewedoui
dc.date.updated2017-12-19T09:45:34Z
hal.person.labIds29$$$221597
hal.person.labIds60
hal.person.labIds78


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