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Characterization of Generalized Young Measures Generated by Symmetric Gradients

De Philippis, Guido
•
Rindler, Filip
2017
  • journal article

Periodico
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
Abstract
This work establishes a characterization theorem for (generalized) Young measures generated by symmetric derivatives of functions of bounded deformation (BD) in the spirit of the classical Kinderlehrerâ Pedregal theorem. Our result places such Young measures in duality with symmetric-quasiconvex functions with linear growth. The â localâ proof strategy combines blow-up arguments with the singular structure theorem in BD (the analogue of Albertiâ s rank-one theorem in BV), which was recently proved by the authors. As an application of our characterization theorem we show how an atomic part in a BD-Young measure can be split off in generating sequences.
DOI
10.1007/s00205-017-1096-1
WOS
WOS:000396793500008
Archivio
http://hdl.handle.net/20.500.11767/60726
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85013080919
http://link.springer-ny.com/link/service/journals/00205/index.htm
https://arxiv.org/abs/1604.04097
Diritti
open access
Soggetti
  • Analysi

  • Mathematics (miscella...

  • Mechanical Engineerin...

  • Settore MAT/05 - Anal...

Scopus© citazioni
12
Data di acquisizione
Jun 7, 2022
Vedi dettagli
Web of Science© citazioni
18
Data di acquisizione
Mar 26, 2024
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