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On the continuity of the trace operator in GSBV (Ω) and GSBD (Ω)

TitleOn the continuity of the trace operator in GSBV (Ω) and GSBD (Ω)
Publication TypePreprint
2018
AuthorsTasso, E
Document NumberSISSA;39/2018/MATE

In this paper we present a new result of continuity for the trace operator acting on
functions that might jump on a prescribed (n−1)-dimensional set Г, with the only hypothesis
of being rectifiable and of finite measure. We also show an application of our result in relation
to the variational model of elasticity with cracks, when the associated minimum problems are
coupled with Dirichlet and Neumann boundary conditions.

http://preprints.sissa.it/handle/1963/35324
Alternate TitleOn the continuity of the trace operator in GSBV (omega) and GSBD (omega)

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