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dc.contributor.authorComte, Myriam
dc.contributor.authorCarlier, Guillaume
dc.date.accessioned2010-01-26T11:06:46Z
dc.date.available2010-01-26T11:06:46Z
dc.date.issued2007
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/3140
dc.descriptionDedicated to the memory of Thomas Lachand-Roberten
dc.language.isoenen
dc.subjectGeneralized Cheeger setsen
dc.subjectTotal variation minimizationen
dc.subject.ddc515en
dc.titleOn a weighted total variation minimization problemen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherUniversité Pierre et Marie Curie, Paris;France
dc.description.abstractenThe present article is devoted to the study of a constrained weighted total variation minimization problem, which may be viewed as a relaxation of a generalized Cheeger problem and is motivated by landslide modelling. Using the fact that the set of minimizers is invariant by a wide class of monotone transformations, we prove that level sets of minimizers are generalized Cheeger sets and obtain qualitative properties of the minimizers: they are all bounded and all achieve their essential supremum on a set of positive measure.en
dc.relation.isversionofjnlnameJournal of Functional Analysis
dc.relation.isversionofjnlvol250en
dc.relation.isversionofjnlissue1en
dc.relation.isversionofjnldate2007
dc.relation.isversionofjnlpages214-226en
dc.relation.isversionofdoihttp://dx.doi.org/10.1016/j.jfa.2007.05.022en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherElsevieren
dc.subject.ddclabelAnalyseen


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