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On the total variation Wasserstein gradient flow and the TV-JKO scheme

hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorCarlier, Guillaume
hal.structure.identifierDepartment of Applied Mathematics and Theoretical Physics [DAMTP]
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorPoon, Clarice
dc.date.accessioned2017-11-02T15:06:05Z
dc.date.available2017-11-02T15:06:05Z
dc.date.issued2017-03
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/16904
dc.language.isoenen
dc.subjectfourth-order evolution equationsen
dc.subjectJKO schemeen
dc.subjecttotal variationen
dc.subjectWasserstein gradient flowsen
dc.subject.ddc519en
dc.titleOn the total variation Wasserstein gradient flow and the TV-JKO schemeen
dc.typeDocument de travail / Working paper
dc.description.abstractenWe study the JKO scheme for the total variation, characterize the optimizers, prove some of their qualitative properties (in particular a sort of maximum principle and the regularity of level sets). We study in detail the case of step functions. Finally, in dimension one, we establish convergence as the time step goes to zero to a solution of a fourth-order nonlinear evolution equation.en
dc.identifier.citationpages28en
dc.relation.ispartofseriestitleCahier de recherche CEREMADE, Université Paris-Dauphineen
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-01492343en
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.identifier.citationdate2017-03
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.date.updated2017-11-02T15:02:35Z
hal.author.functionaut
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