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Anisotropic and crystalline mean curvature flow of mean-convex sets

hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorChambolle, Antonin
hal.structure.identifierDipartimento di Matematica Pura e Applicata [Padova]
dc.contributor.authorNovaga, Matteo
dc.date.accessioned2022-01-27T09:54:05Z
dc.date.available2022-01-27T09:54:05Z
dc.date.issued2022
dc.identifier.issn2036-2145
dc.identifier.urihttps://basepub.dauphine.psl.eu/handle/123456789/22475
dc.language.isoenen
dc.subjectAnisotropic mean curvature flow
dc.subjectcrystal growth
dc.subjectminimizing movements
dc.subjectmean convexity
dc.subjectarrival time
dc.subject1-superharmonic functions
dc.subject.ddc515en
dc.titleAnisotropic and crystalline mean curvature flow of mean-convex sets
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe consider a variational scheme for the anisotropic (including crystalline) mean curvature flow of sets with strictly positive anisotropic mean curvature. We show that such condition is preserved by the scheme, and we prove the strict convergence in BV of the time-integrated perimeters of the approximating evolutions, extending a recent result of De Philippis and Laux to the anisotropic setting. We also prove uniqueness of the flat flow obtained in the limit.
dc.relation.isversionofjnlnameAnnali della Scuola Normale Superiore di Pisa
dc.relation.isversionofjnlvolXXIII
dc.relation.isversionofjnlissue2
dc.relation.isversionofjnldate2022
dc.relation.isversionofjnlpages623-643
dc.relation.isversionofdoi10.2422/2036-2145.202005_009
dc.relation.isversionofjnlpublisherScuola normale superiore
dc.subject.ddclabelAnalyseen
dc.relation.forthcomingouien
dc.description.ssrncandidatenon
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dc.description.readershiprecherche
dc.description.audienceInternational
dc.relation.Isversionofjnlpeerreviewedoui
dc.date.updated2023-01-02T13:56:47Z
hal.author.functionaut
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