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BIRS Workshop Lecture Videos

Approximation of functions with small jump sets and existence of strong minimizers of the Griffithâ s energy in dimension n Iurlano, Flaviana


We prove that special functions of bounded deformation with small jump sets are close in energy to functions which are smooth in a slightly smaller domain. This permits to generalize the decay estimate by De Giorgi, Carriero, and Leaci to the linearized context in dimension n and to establish the closedness of the jump set for minimizers of the Griffith energy.

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