| Abstract: |
| In this talk I will present a result concerning the lower semicontinuity of some free discontinuity functionals with linear growth defined on the space of functions with bounded deformation BD. The functionals in analysis feature a volume term that is convex and depends only on the Euclidean norm of the symmetrized gradient. I will introduce a suitable class of surface terms, which make the functional lower semicontinuous. The proof of the result is based on an unusual slicing argument. |
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