Approximation of functions with small jump sets and existence of strong minimizers of Griffith's energy
作者： Antonin Chambolle , Sergio Conti , Flaviana Iurlano
DOI: 10.1016/J.MATPUR.2019.02.001
关键词: Set (abstract data type) 、 Mathematical analysis 、 Energy (signal processing) 、 Jump 、 Domain (mathematical analysis) 、 Dimension (graph theory) 、 Bounded deformation 、 Special functions 、 Mathematics 、 Context (language use)
摘要: We prove that special functions of bounded deformation with small jump set are close in energy to which smooth a slightly smaller domain. This permits generalize the decay estimate by De Giorgi, Carriero, and Leaci linearized context dimension n establish closedness for local minimizers Griffith energy.
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