Following some ideas of a recent paper by Ambrosio, Bourgain, Brezis and Figalli, we prove a formula for the total variation of certain SBV functions without making use of the distributional derivatives.
A formula for the total variation of SBV functions / Fusco, Nicola; Moscariello, Gioconda; Sbordone, Carlo. - In: JOURNAL OF FUNCTIONAL ANALYSIS. - ISSN 0022-1236. - 270:1(2016), pp. 419-446. [10.1016/j.jfa.2015.06.010]
A formula for the total variation of SBV functions
FUSCO, NICOLA;MOSCARIELLO, GIOCONDA;SBORDONE, CARLO
2016
Abstract
Following some ideas of a recent paper by Ambrosio, Bourgain, Brezis and Figalli, we prove a formula for the total variation of certain SBV functions without making use of the distributional derivatives.File in questo prodotto:
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