Published Paper

Inserted: 24 sep 2015
Last Updated: 19 mar 2018

Journal: Adv. Cal. Var.
Volume: 10
Pages: 183-207
Year: 2017
Doi: 10.1515/acv-2015-0036

Abstract:

We study the lower semicontinuity of some free discontinuity functionals with linear growth defined on the space of functions with bounded deformation. The volume term is convex and depends only on the Euclidean norm of the symmetrized gradient. We introduce a suitable class of surface terms, which make the functional lower semicontinuous with respect to $L^1$ convergence.

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