L On formulae decoupling the total variation of BV functions

doi:10.1016/j.na.2016.08.028

Title:	L On formulae decoupling the total variation of BV functions
Authors:	Ponce, Augusto C. Spector, Daniel 應用數學系 Department of Applied Mathematics
Keywords:	Bounded variation;Fractional Laplacian;Non-local energies
Issue Date:	1-May-2017
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 is an element of SBV converge strictly to the singular portion of D-u. (C) 2016 Elsevier Ltd. All rights reserved.
URI:	http://dx.doi.org/10.1016/j.na.2016.08.028 http://hdl.handle.net/11536/144675
ISSN:	0362-546X
DOI:	10.1016/j.na.2016.08.028
Journal:	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume:	154
Begin Page:	241
End Page:	257
Appears in Collections:	Articles