Regularity of the moments of the solution of a Transport Equation

dc.contributor.author	Golse, François
dc.contributor.author	Lions, Pierre-Louis
dc.contributor.author	Perthame, Benoît HAL ID: 739446 ORCID: 0000-0002-7091-1200
dc.contributor.author	Sentis, Rémi
dc.date.accessioned	2014-05-20T14:27:28Z
dc.date.available	2014-05-20T14:27:28Z
dc.date.issued	1988
dc.identifier.uri	https://basepub.dauphine.fr/handle/123456789/13328
dc.language.iso	en	en
dc.subject	Transport Equation	en
dc.subject.ddc	515	en
dc.title	Regularity of the moments of the solution of a Transport Equation	en
dc.type	Article accepté pour publication ou publié
dc.description.abstracten	Let 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.isversionofjnlname	Journal of Functional Analysis
dc.relation.isversionofjnlvol	76	en
dc.relation.isversionofjnlissue	1	en
dc.relation.isversionofjnldate	1988
dc.relation.isversionofjnlpages	110-125	en
dc.relation.isversionofdoi	http://dx.doi.org/10.1016/0022-1236(88)90051-1	en
dc.relation.isversionofjnlpublisher	Elsevier	en
dc.subject.ddclabel	Analyse	en
dc.relation.forthcoming	non	en
dc.relation.forthcomingprint	non	en

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