Geodesic
Characteristic functions on the boundary of a planar domain need not be traces of least gradient functions
Dos Santos, Mickaël1
1 Université Paris Est-Créteil, 61 avenue du Général de Gaulle, 94010 Créteil Cedex, France
Confluentes Mathematici, Tome 9 (2017) no. 1, pp. 65-93 Cet article a éte moissonné depuis la source Numdam

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Given a smooth bounded planar domain Ø, we construct a compact set on the boundary such that its characteristic function is not the trace of a least gradient function. This generalizes the construction of Spradlin and Tamasan [3] when Ø is a disc.

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DOI : 10.5802/cml.36
Classification : 26B30, 35J56
Keywords: traces of functions of bounded variation, least gradient problem

Dos Santos, Mickaël 1

1 Université Paris Est-Créteil, 61 avenue du Général de Gaulle, 94010 Créteil Cedex, France
Licence : CC-BY-NC-ND 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Dos Santos, Mickaël. Characteristic functions on the boundary of a planar domain need not be traces of least gradient functions. Confluentes Mathematici, Tome 9 (2017) no. 1, pp. 65-93. doi: 10.5802/cml.36

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