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Register a new userApproximation of functions with small jump sets and existence of strong minimizers of Griffiths energy
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Authors
Antonin Chambolle
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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 the Griffith energy.
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