<oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
<dc:title>Not all traces on the circle come from functions of least gradient in the disk</dc:title>
<dc:creator>Greg Spradlin</dc:creator><dc:creator>Alexandru Tamasan</dc:creator>
<dc:subject>30E20</dc:subject><dc:subject>35J56</dc:subject><dc:subject>traces of functions of bounded variation</dc:subject><dc:subject>least gradient problem</dc:subject>
<dc:description>We provide an example of an $L^1$ function on the circle, which cannot be the trace of a function of bounded variation of least gradient in the disk.</dc:description>
<dc:publisher>Indiana University Mathematics Journal</dc:publisher>
<dc:date>2014</dc:date>
<dc:type>text</dc:type>
<dc:format>pdf</dc:format>
<dc:identifier>10.1512/iumj.2014.63.5421</dc:identifier>
<dc:source>10.1512/iumj.2014.63.5421</dc:source>
<dc:language>en</dc:language>
<dc:relation>Indiana Univ. Math. J. 63 (2014) 1819 - 1837</dc:relation>
<dc:coverage>state-of-the-art mathematics</dc:coverage>
<dc:rights>http://iumj.org/access/</dc:rights>
</oai_dc:dc>