A semi derivation lemma on BV functions

Santambrogio, Filippo; Vialard, François-Xavier

Santambrogio, Filippo; Vialard, François-Xavier (2008-07), A semi derivation lemma on BV functions. https://basepub.dauphine.fr/handle/123456789/3755

Type

Document de travail / Working paper

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http://hal.archives-ouvertes.fr/hal-00317751/en/

Date

2008-07

Éditeur

Université Paris-Dauphine

Ville d’édition

Paris

Métadonnées

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Auteur(s)

Santambrogio, Filippo
Vialard, François-Xavier

Résumé (EN)

This paper presents a proof of a derivation lemma on the space of BV functions. The origin of this question can be found in the context of the image matching in the framework of large deformation diffeomorphisms. To compute the geodesic equations on the space of diffeomorphisms, one needs this derivation lemma. It gives also the structure of the initial momentum, which is the central tool in the Hamiltonian formulation of geodesic equations.

Mots-clés

SBV; Lipschitz domains; strong approximation in BV