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

External document link

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

Date

2008-07

Publisher

Université Paris-Dauphine

Published in

Paris

Metadata

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Author(s)

Santambrogio, Filippo
Vialard, François-Xavier

Abstract (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.

Subjects / Keywords

SBV; Lipschitz domains; strong approximation in BV