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L^q-functional inequalities and weighted porous media equations.

dc.contributor.authorDolbeault, Jean
HAL ID: 87
ORCID: 0000-0003-4234-2298
dc.contributor.authorGentil, Ivan
dc.contributor.authorGuillin, Arnaud
HAL ID: 5334
dc.contributor.authorWang, Feng-Yu
dc.date.accessioned2009-06-09T16:01:23Z
dc.date.available2009-06-09T16:01:23Z
dc.date.issued2008
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/228
dc.language.isoenen
dc.subjectEquations aux dérivées partiellesen
dc.subjectAnalysisen
dc.subject.ddc515en
dc.titleL^q-functional inequalities and weighted porous media equations.en
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherSchool of Mathematical Sciences, Beijing Normal University;Chine
dc.contributor.editoruniversityotherLaboratoire d'Analyse, Topologie, Probabilités (LATP), Université de Provence;France
dc.description.abstractenUsing measure-capacity inequalities we study new functional inequalities, namely L^q-Poincaré inequalities and L^q-logarithmic Sobolev inequalities. As a consequence, we establish the asymptotic behavior of the solutions to the so-called weighted porous media equation for m?1, in terms of L^2-norms and entropies.en
dc.relation.isversionofjnlnamePotential Analysis
dc.relation.isversionofjnlvol28en
dc.relation.isversionofjnlissue1en
dc.relation.isversionofjnldate2008
dc.relation.isversionofjnlpages35-39en
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/s11118-007-9066-0en
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00122415en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherSpringeren
dc.subject.ddclabelAnalyseen


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