Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5024808 | Nonlinear Analysis: Theory, Methods & Applications | 2017 | 17 Pages |
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 uâSBV converge strictly to the singular portion of Du.
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Authors
Augusto C. Ponce, Daniel Spector,