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∈SBV converge strictly to the singular portion of Du.
|頁（從 - 到）||241-257|
|期刊||Nonlinear Analysis, Theory, Methods and Applications|
|出版狀態||已發佈 - 2017 五月 1|
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