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dc.contributor.authorMouhot, Clément
dc.date.accessioned2009-07-03T08:02:51Z
dc.date.available2009-07-03T08:02:51Z
dc.date.issued2006
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/716
dc.language.isoenen
dc.subjectcoercivity estimates ; linearized Boltzmann operator ; linearized Landau operator ; quantitative ; soft potentials ; hard potentials ; spectral gapen
dc.subject.ddc519en
dc.titleExplicit coercivity estimates for the linearized Boltzmann and Landau operatorsen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe prove explicit coercivity estimates for the linearized Boltzmann and Landau operators, for a general class of interactions including any inverse-power law interactions, and hard spheres. The functional spaces of these coercivity estimates depend on the collision kernel of these operators. They cover the spectral gap estimates for the linearized Boltzmann operator with Maxwell molecules, improve these estimates for hard potentials, and are the first explicit coercivity estimates for soft potentials (including in particular the case of Coulombian interactions). We also prove a regularity property for the linearized Boltzmann operator with non locally integrable collision kernels, and we deduce from it a new proof of the compactness of its resolvent for hard potentials without angular cutoff.en
dc.relation.isversionofjnlnameCommunications in Partial Differential Equations
dc.relation.isversionofjnlvol31en
dc.relation.isversionofjnlissue9en
dc.relation.isversionofjnldate2006-09
dc.relation.isversionofjnlpages1321 - 1348en
dc.relation.isversionofdoihttp://dx.doi.org/10.1080/03605300600635004en
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00087242/en/en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherTaylor & Francis
dc.subject.ddclabelProbabilités et Mathématiques appliquéesen


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