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

Mickael Dos Santos

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arXiv · 1510.05081

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

Mickael Dos Santos

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Abstract

Given a smooth bounded planar domain, we construct a compact set on the boundary s.t. its characteristic function is not the trace of a least gradient function. This generalize the construction of Spradlin and Tamasan [ST14] on the disc.

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Mickael Dos Santos. 2017-03-01. Characteristic functions on the boundary of a planar domain need not be traces of least gradient functions. https://arxiv.org/abs/1510.05081

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