On a weighted total variation minimization problem
Résumé
The 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.
Domaines
Analyse fonctionnelle [math.FA]Origine | Fichiers produits par l'(les) auteur(s) |
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