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A formula for the total variation of SBV functions - MaRDI portal

A formula for the total variation of SBV functions (Q892691)

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scientific article; zbMATH DE number 6507488
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A formula for the total variation of SBV functions
scientific article; zbMATH DE number 6507488

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    A formula for the total variation of SBV functions (English)
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    11 November 2015
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    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.
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    special functions of bounded variations
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