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arXiv · 1710.01929

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

Antonin Chambolle·Sergio Conti·Flaviana Iurlano
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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 the Griffith energy.

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Antonin Chambolle, Sergio Conti, Flaviana Iurlano. 2017-10-05. Approximation of functions with small jump sets and existence of strong minimizers of Griffith's energy. https://arxiv.org/abs/1710.01929

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