ON THE INTEGRAL REPRESENTATION OF VARIATIONAL FUNCTIONALS ON BD

ON THE INTEGRAL REPRESENTATION OF VARIATIONAL FUNCTIONALS ON BD

Following the global method for relaxation we prove an integral representation result for a large class of variational functionals naturally defined on the space of functions with bounded deformation. Mild additional continuity assumptions are required on the functionals.

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Veröffentlicht in:SIAM journal on mathematical analysis 2020-01, Vol.52 (4), p.4022-4067
Hauptverfasser: Caroccia, M., Focardi, M., Van Goethem, N.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics, Applied
Physical Sciences
Science & Technology
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Beschreibung
Zusammenfassung:Following the global method for relaxation we prove an integral representation result for a large class of variational functionals naturally defined on the space of functions with bounded deformation. Mild additional continuity assumptions are required on the functionals.
ISSN:0036-1410
1095-7154
DOI:10.1137/19M1277564