Not All Traces On the Circle Come From Functions of Least Gradient in the Disk

Gregory S. Spradlin; Alexandru Tamasan

doi:10.1512/iumj.2014.63.5421

Not All Traces On the Circle Come From Functions of Least Gradient in the Disk

Gregory S. Spradlin, Alexandru Tamasan

Mathematics

University of Central Florida

Research output: Contribution to journal › Article › peer-review

Abstract

We provide an example of an L¹ function on the circle, which cannot be the trace of a function of bounded variation of least gradient in the disk.

Original language	American English
Journal	Indiana University Mathematics Journal
Volume	63
DOIs	https://doi.org/10.1512/iumj.2014.63.5421
State	Published - 2014

Keywords

Traces of functions of bounded variation
least gradient problem

Disciplines

Mathematics

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Cite this

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abstract = " We provide an example of an L¹ function on the circle, which cannot be the trace of a function of bounded variation of least gradient in the disk.",

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journal = "Indiana University Mathematics Journal",

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