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Selected Works of Gregory S. Spradlin
Article
Not All Traces On the Circle Come From Functions of Least Gradient in the Disk
Indiana University Mathematics Journal (2014)
  • Gregory S. Spradlin, Embry-Riddle Aeronautical University
  • Alexandru Tamasan, University of Central Florida
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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.
Keywords
  • Traces of functions of bounded variation,
  • least gradient problem
Disciplines
Publication Date
2014
DOI
https://doi.org/10.1512/iumj.2014.63.5421
Publisher Statement
Content embargoed for 2 years. Available in late 2016. This copy pre-print.
Citation Information
Gregory S. Spradlin and Alexandru Tamasan. "Not All Traces On the Circle Come From Functions of Least Gradient in the Disk" Indiana University Mathematics Journal Vol. 63 Iss. 6 (2014) p. 1819 - 1837 ISSN: 0022-2518
Available at: http://works.bepress.com/greg_spradlin/18/