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