Characteristic functions on the boundary of a planar domain need not be traces of least gradient functions

DOI10.5802/cml.36zbMath1395.42057arXiv1510.05081OpenAlexW1920620490MaRDI QIDQ4578016

Mickaël Dos Santos

Publication date: 7 August 2018

Published in: Confluentes Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.05081

zbMATH Keywords

least gradient problemtraces of functions of bounded variation

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Boundary value problems for first-order elliptic systems (35J56)

Related Items (7)

Least gradient problem on annuli ⋮ The trace space of anisotropic least gradient functions depends on the anisotropy ⋮ Stability of Current Density Impedance Imaging ⋮ Unnamed Item ⋮ Special cases of the planar least gradient problem ⋮ Stability of current density impedance imaging. II ⋮ The Dirichlet-to-Neumann operator associated with the 1-Laplacian and evolution problems

Cites Work

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• Funzioni BV e tracce
• Not all traces on the circle come from functions of least gradient in the disk

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