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A general compactness theorem in G(S)BD

Chambolle, Antonin; Crismale, Vito (2022), A general compactness theorem in G(S)BD. https://basepub.dauphine.psl.eu/handle/123456789/23593

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Type
Document de travail / Working paper
Date
2022
Series title
Cahier de recherche CEREMADE, Université Paris Dauphine-PSL
Published in
Paris
Pages
12
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Author(s)
Chambolle, Antonin cc
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Crismale, Vito cc
Dipartimento di Matematica "Guido Castelnuovo" [Roma I] [Sapienza University of Rome]
Abstract (EN)
We give a new, simpler proof of a compactness result in GSBDp , p > 1, by the same authors, which is also valid in GBD (the case p = 1), and shows that bounded sequences converge a.e., after removal of a suitable sequence of piecewise innitesimal rigid motions, subject to a fixed partition.