An extension of the pairing theory between divergence-measure fields and BV functions
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Publication:1729714
DOI10.1016/j.jfa.2018.06.007zbMath1474.28016arXiv1804.06249OpenAlexW2797627939MaRDI QIDQ1729714
Graziano Crasta, Virginia De Cicco
Publication date: 28 February 2019
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.06249
Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)
Related Items (9)
Rigidity and trace properties of divergence-measure vector fields ⋮ Monotonicity and symmetry of positive solution for 1-Laplace equation ⋮ On BV functions and essentially bounded divergence-measure fields in metric spaces ⋮ Representation formulas for pairings between divergence-measure fields and \(BV\) functions ⋮ On some weighted 1-Laplacian problem on \(\mathbb{R}^N\) with singular behavior at the origin ⋮ Cauchy fluxes and Gauss-Green formulas for divergence-measure fields over general open sets ⋮ The Gauss-Green theorem in stratified groups ⋮ Rough traces of BV functions in metric measure spaces ⋮ Pairings between bounded divergence-measure vector fields and BV functions
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