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dc.contributor.authorVazquez, Juan-Luis
dc.contributor.authorGrillo, Gabriele
dc.contributor.authorDolbeault, Jean
dc.contributor.authorBonforte, Matteo
dc.date.accessioned2011-10-14T08:45:41Z
dc.date.available2011-10-14T08:45:41Z
dc.date.issued2010
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/7219
dc.language.isoenen
dc.subjectlarge-time behavioren
dc.subjectBarenblatt solutionsen
dc.subjectporous media equationen
dc.subjectintermediate asymptoticsen
dc.subjectasymptotic expansionen
dc.subject.ddc515en
dc.titleSharp rates of decay of solutions to the nonlinear fast diffusion equation via functional inequalitiesen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenThe goal of this paper is to state the optimal decay rate for solutions of the nonlinear fast diffusion equation and, in self-similar variables, the optimal convergence rates to Barenblatt self-similar profiles and their generalizations. It relies on the identification of the optimal constants in some related Hardy–Poincaré inequalities and concludes a long series of papers devoted to generalized entropies, functional inequalities, and rates for nonlinear diffusion equations.en
dc.relation.isversionofjnlnameProceedings of the National Academy of Sciences of the United States of America
dc.relation.isversionofjnlvol107en
dc.relation.isversionofjnlissue38en
dc.relation.isversionofjnldate2010
dc.relation.isversionofjnlpages16459-16464en
dc.relation.isversionofdoihttp://dx.doi.org/10.1073/pnas.1003972107en
dc.identifier.urlsitehttp://arxiv.org/abs/0907.2986v1en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherNational Academy of Sciences of the USAen
dc.subject.ddclabelAnalyseen


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