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 almost everywhere, after removal of a suitable sequence of piecewise infinitesimal rigid motions, subject to a fixed partition.

A General Compactness Theorem in G(S)BD / Chambolle, A; Crismale, V. - In: INDIANA UNIVERSITY MATHEMATICS JOURNAL. - ISSN 0022-2518. - 74:1(2025), pp. 233-249.

A General Compactness Theorem in G(S)BD

Chambolle, A;Crismale, V
2025

Abstract

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 almost everywhere, after removal of a suitable sequence of piecewise infinitesimal rigid motions, subject to a fixed partition.
2025
Generalised special functions of bounded deformation; brittle fracture; compactness
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A General Compactness Theorem in G(S)BD / Chambolle, A; Crismale, V. - In: INDIANA UNIVERSITY MATHEMATICS JOURNAL. - ISSN 0022-2518. - 74:1(2025), pp. 233-249.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1738139
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