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Physical Sciences and Mathematics Commons

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Mathematics

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Embry-Riddle Aeronautical University

2014

Least gradient problem

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Full-Text Articles in Physical Sciences and Mathematics

Not All Traces On The Circle Come From Functions Of Least Gradient In The Disk, Gregory S. Spradlin, Alexandru Tamasan Jan 2014

Not All Traces On The Circle Come From Functions Of Least Gradient In The Disk, Gregory S. Spradlin, Alexandru Tamasan

Publications

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.