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Regularity of the moments of the solution of a Transport Equation

dc.contributor.authorGolse, François
dc.contributor.authorLions, Pierre-Louis
dc.contributor.authorPerthame, Benoît
dc.contributor.authorSentis, Rémi
dc.date.accessioned2014-05-20T14:27:28Z
dc.date.available2014-05-20T14:27:28Z
dc.date.issued1988
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/13328
dc.language.isoenen
dc.subjectTransport Equationen
dc.subject.ddc515en
dc.titleRegularity of the moments of the solution of a Transport Equationen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenLet u = u(x, v) satisfy the Transport Equation View the MathML source, x∈View the MathML sourceN, v∈View the MathML sourceNwhere f belongs to some space of type Lp(dx ⊗ dμ(v)) (where μ is a positive bounded measure on View the MathML sourceN). We study the resulting regularity of the moment ∝ u(x, v) dμ(v) (in terms of fractional Sobolev spaces, for example). Counter-examples are given in order to test the optimality of our results.en
dc.relation.isversionofjnlnameJournal of Functional Analysis
dc.relation.isversionofjnlvol76en
dc.relation.isversionofjnlissue1en
dc.relation.isversionofjnldate1988
dc.relation.isversionofjnlpages110-125en
dc.relation.isversionofdoihttp://dx.doi.org/10.1016/0022-1236(88)90051-1en
dc.relation.isversionofjnlpublisherElsevieren
dc.subject.ddclabelAnalyseen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen


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