A general compactness theorem in $G(S)BD

We give a new, simpler proof of a compactness result in $GSBD^p$, $p>1$, 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 infinitesimal rigid motions, subject to a fixed partition.

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Bibliographic Details
Main Authors Chambolle, Antonin, Crismale, Vito
Format Journal Article
LanguageEnglish
Published 01.01.2025
Subjects
Mathematics - Functional Analysis
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Summary:We give a new, simpler proof of a compactness result in $GSBD^p$, $p>1$, 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 infinitesimal rigid motions, subject to a fixed partition.
DOI:10.48550/arxiv.2210.04355