Pairings between bounded divergence-measure vector fields and BV functions

DOI10.1515/acv-2020-0058zbMath1500.35095arXiv1902.06052OpenAlexW3061123787MaRDI QIDQ2086114

Virginia De Cicco, Annalisa Malusa, Graziano Crasta

Publication date: 20 October 2022

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.06052

zbMATH Keywords

semicontinuityfunctions of bounded variationcoarea formuladivergence-measure vector fieldsGauss-Green formula

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Linear first-order PDEs (35F05) Spaces of measures, convergence of measures (28A33) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) (26B20)

Related Items (6)

On BV functions and essentially bounded divergence-measure fields in metric spaces ⋮ Representation formulas for pairings between divergence-measure fields and \(BV\) functions ⋮ Boundedness and unboundedness in total variation regularization ⋮ On some weighted 1-Laplacian problem on \(\mathbb{R}^N\) with singular behavior at the origin ⋮ Capacities and 1-strict subsets in metric spaces ⋮ The Gauss-Green theorem in stratified groups

Cites Work

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