L On formulae decoupling the total variation of BV functions

dc.citation.epage	257	en_US
dc.citation.spage	241	en_US
dc.citation.volume	154	en_US
dc.contributor.author	Ponce, Augusto C.	en_US
dc.contributor.author	Spector, Daniel	en_US
dc.contributor.department	應用數學系	zh_TW
dc.contributor.department	Department of Applied Mathematics	en_US
dc.date.accessioned	2018-08-21T05:53:25Z
dc.date.available	2018-08-21T05:53:25Z
dc.date.issued	2017-05-01	en_US
dc.description.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.	en_US
dc.identifier.doi	10.1016/j.na.2016.08.028	en_US
dc.identifier.issn	0362-546X	en_US
dc.identifier.journal	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS	en_US
dc.identifier.uri	http://dx.doi.org/10.1016/j.na.2016.08.028	en_US
dc.identifier.uri	https://ir.lib.nycu.edu.tw/handle/11536/144675
dc.identifier.wosnumber	WOS:000396972800014	en_US
dc.language.iso	en_US	en_US
dc.subject	Bounded variation	en_US
dc.subject	Fractional Laplacian	en_US
dc.subject	Non-local energies	en_US
dc.title	L On formulae decoupling the total variation of BV functions	en_US
dc.type	Article	en_US

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