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dc.contributor.authorBartier, Jean-Philippe
dc.contributor.authorLaurençot, Philippe
HAL ID: 14588
dc.date.accessioned2011-04-27T12:59:11Z
dc.date.available2011-04-27T12:59:11Z
dc.date.issued2007
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/6063
dc.language.isoenen
dc.subjectGradient absorptionen
dc.subjectp-Laplacianen
dc.subjectLocalizationen
dc.subjectGradient estimatesen
dc.subjectTemporal decay ratesen
dc.subject.ddc515en
dc.titleGradient estimates for a degenerate parabolic equation with gradient absorption and applicationsen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenQualitative properties of non-negative solutions to a quasilinear degenerate parabolic equation with an absorption term depending solely on the gradient are shown, providing information on the competition between the nonlinear diffusion and the nonlinear absorption. In particular, the limit as t→∞ of the L1-norm of integrable solutions is identified, together with the rate of expansion of the support for compactly supported initial data. The persistence of dead cores is also shown. The proof of these results strongly relies on gradient estimates which are first established.en
dc.relation.isversionofjnlnameJournal of Functional Analysis
dc.relation.isversionofjnlvol254en
dc.relation.isversionofjnlissue3en
dc.relation.isversionofjnldate2008
dc.relation.isversionofjnlpages851-878en
dc.relation.isversionofdoihttp://dx.doi.org/10.1016/j.jfa.2007.10.012en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherElsevieren
dc.subject.ddclabelAnalyseen


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