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A decomposition theorem for \(BV\) functions

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Publication:652058
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DOI10.3934/cpaa.2011.10.1549zbMath1229.26023OpenAlexW1969133028MaRDI QIDQ652058

Daniela Tonon, Stefano Bianchini

Publication date: 19 December 2011

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2011.10.1549


zbMATH Keywords

monotone functionsJordan decomposition\(BV\) functions


Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Special properties of functions of several variables, Hölder conditions, etc. (26B35)


Related Items (4)

Steady nearly incompressible vector fields in two-dimension: chain rule and renormalization ⋮ On the structure of divergence-free measures on \(\mathbb{R}^2\) ⋮ The Jordan decomposition of bounded variation functions valued in vector spaces ⋮ Regularity estimates for the flow of BV autonomous divergence-free vector fields in R2




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