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dc.contributor.authorCarrapatoso, Kleber
dc.contributor.authorMischler, Stéphane
dc.date.accessioned2017-04-24T11:57:40Z
dc.date.available2017-04-24T11:57:40Z
dc.date.issued2017
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/16521
dc.language.isoenen
dc.subjectLandau equation, existenceen
dc.subjectuniquenessen
dc.subjectstabilityen
dc.subjectsemigroup stabilityen
dc.subjectvery soft potentialsen
dc.subjectCoulomb potentialen
dc.subjectconvergence to equilibriumen
dc.subject.ddc515en
dc.titleLandau equation for very soft and Coulomb potentials near Maxwelliansen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenThis work deals with the Landau equation for very soft and Coulomb potentials near the associated Maxwellian equilibrium. We first investigate the corresponding linearized operator and develop a method to prove stability estimates of its associated semigroup in large functional spaces. We then deduce existence, uniqueness and fast decay of the solutions to the nonlinear equation in a close-to-equilibrium framework. Our result drastically improves the set of initial data compared to the one considered by Guo and Strain who established similar results in [21, 37, 38]. Our functional framework is compatible with the non perturbative frameworks developed by Villani, Desvillettes and co-authors [42, 17, 16, 13], and our main result then makes possible to improve the speed of convergence to the equilibrium established therein.en
dc.relation.isversionofjnlnameAnnals of PDE
dc.relation.isversionofjnlvol3en
dc.relation.isversionofjnlissue1en
dc.relation.isversionofjnldate2017
dc.relation.isversionofdoi10.1007/s40818-017-0021-0en
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-01237530en
dc.relation.isversionofjnlpublisherSpringeren
dc.subject.ddclabelAnalyseen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.relation.Isversionofjnlpeerreviewedouien
dc.relation.Isversionofjnlpeerreviewedouien
dc.date.updated2017-04-19T14:54:53Z
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