Preprint
Inserted: 29 mar 2016
Last Updated: 31 aug 2016
Year: 2016
Abstract:
In this paper we prove several formulae that enable one to capture the singular portion of the measure derivative of a function of bounded variation as a limit of non-local functionals. One special case shows that rescalings of the fractional Laplacian of a function $u\in SBV$ converge strictly to the singular portion of $Du$.
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