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A differential approach to the multi-marginal Schrödinger system

hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorCarlier, Guillaume
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
hal.structure.identifierDepartment of Mathematics and Statistics [Toronto]
dc.contributor.authorLaborde, Maxime
dc.date.accessioned2019-02-27T12:43:20Z
dc.date.available2019-02-27T12:43:20Z
dc.date.issued2020
dc.identifier.issn0036-1410
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/18494
dc.language.isoenen
dc.subjectlocal and global inverse function theorems
dc.subjectMulti-marginal Schrödinger system
dc.subjectentropy minimization
dc.subject.ddc515en
dc.titleA differential approach to the multi-marginal Schrödinger system
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe develop an elementary and self-contained differential approach, in an L ∞ setting, for well-posedness (existence, uniqueness and smooth dependence with respect to the data) for the multi-marginal Schrödinger system which arises in the entropic regularization of optimal transport problems.
dc.relation.isversionofjnlnameSIAM Journal on Mathematical Analysis
dc.relation.isversionofjnlvol52
dc.relation.isversionofjnlissue1
dc.relation.isversionofjnldate2020
dc.relation.isversionofjnlpages12
dc.relation.isversionofdoi10.1137/19M1253800
dc.relation.isversionofjnlpublisherSIAM - Society for Industrial and Applied Mathematics
dc.subject.ddclabelAnalyseen
dc.description.ssrncandidatenon
dc.description.halcandidatenon
dc.description.readershiprecherche
dc.description.audienceInternational
dc.relation.Isversionofjnlpeerreviewedoui
dc.date.updated2023-02-23T08:41:35Z
hal.author.functionaut
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