A formula for the total variation of SBV functions
type: Item
instance of: scholarly article
title: A formula for the total variation of SBV functions
zbMATH Open document ID: 1332.26018
author: N. Fusco
author: Gioconda Moscariello
author: Carlo Sbordone
published in: Journal of Functional Analysis
publication date: 2015-11-11T00:00:00Z
review text: By applying ideas from a recent paper by \textit{L. Ambrosio} et al. [C. R., Math., Acad. Sci. Paris 352, No. 9, 697--698 (2014; Zbl 1316.46026)], the authors prove a new formula for the total variation of certain SBV functions (BV functions whose gradient measure has no Cantor part), without making use of the distributional derivatives.
Mathematics Subject Classification ID: 26A45
Mathematics Subject Classification ID: 46G05
zbMATH DE Number: 6507488
zbMATH Keywords: special functions of bounded variations
reviewed by: József Sándor
MaRDI profile type: Publication
full work available at URL: j.jfa.2015.06.010
OpenAlex ID: W2236829354
cites work: Q4954179
cites work: BMO-type norms related to the perimeter of sets
cites work: A new function space and applications
cites work: Q3202752
cites work: Existence theorem for a minimum problem with free discontinuity set
cites work: Gitterperiodische Punktmengen und Isoperimetrie
DOI: 10.1016/J.JFA.2015.06.010
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description: scientific article; zbMATH DE number 6507488