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dc.contributor.authorDolbeault, Jean
HAL ID: 87
ORCID: 0000-0003-4234-2298
dc.contributor.authorKarch, Grzegorz
dc.date.accessioned2011-04-28T14:17:13Z
dc.date.available2011-04-28T14:17:13Z
dc.date.issued2006
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/6094
dc.language.isoenen
dc.subjectCsiszár-Kullback type estimatesen
dc.subjectGagliardo-Nirenberg-Sobolev inequalitiesen
dc.subjectinterpolation inequalitiesen
dc.subjectporous medium equationsen
dc.subject.ddc515en
dc.titleLarge time behaviour of solutions to nonhomogeneous diffusion equationsen
dc.typeCommunication / Conférence
dc.description.abstractenThis note is devoted to the study of the long time behaviour of solutions to the heat and the porous medium equations in the presence of an external source term, using entropy methods and self-similar variables. Intermediate asymptotics and convergence results are shown using interpolation inequalities, Gagliardo-Nirenberg-Sobolev inequalities and Csiszár-Kullback type estimates.en
dc.identifier.citationpages133-147en
dc.relation.ispartoftitleSelf-Similar Solutions of Nonlinear PDEen
dc.relation.ispartofeditorBiler, Piotr
dc.relation.ispartofeditorKarch, Grzegorz
dc.relation.ispartofpublnameBanach Center Publications - Institute of Mathematics - Polish Academy of Scienceen
dc.relation.ispartofdate2006
dc.relation.ispartofurlhttp://dx.doi.org/10.4064/bc74en
dc.description.sponsorshipprivateouien
dc.subject.ddclabelAnalyseen
dc.relation.conftitleSelf-Similar Solutions of Nonlinear PDEen
dc.relation.confdate2005-09
dc.relation.confcityBedlewoen
dc.relation.confcountryPologneen
dc.identifier.doihttp://dx.doi.org/10.4064/bc74-0-08


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