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Approximation of functions with small jump sets and existence of strong minimizers of Griffith's energy in dimension n

Flaviana Iurlano
Institution: 
LJLL, Univ. Paris 6
Location: 
A-133
Schedule: 
Tuesday, February 20, 2018 - 14:30
Abstract: 

We prove that special functions of bounded deformation with small jump set 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 local minimizers of Griffith's fracture energy.

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