<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>Traces of functions of bounded deformation</dc:title>
<dc:creator>Jean-francois Babadjian</dc:creator>
<dc:subject>26B30</dc:subject><dc:subject>46E35</dc:subject><dc:subject>28A33</dc:subject><dc:subject>functions of bounded deformation</dc:subject><dc:subject>trace</dc:subject><dc:subject>rectifiability</dc:subject>
<dc:description>This paper is devoted to giving a simplified proof of the trace theorem for functions of bounded deformation defined on bounded Lipschitz domains of $\mathbb{R}^n$. As a consequence, the existence of one-sided Lebesgue limits on countably $\mathcal{H}^{n-1}$-rectifiable sets is also established.</dc:description>
<dc:publisher>Indiana University Mathematics Journal</dc:publisher>
<dc:date>2015</dc:date>
<dc:type>text</dc:type>
<dc:format>pdf</dc:format>
<dc:identifier>10.1512/iumj.2015.64.5601</dc:identifier>
<dc:source>10.1512/iumj.2015.64.5601</dc:source>
<dc:language>en</dc:language>
<dc:relation>Indiana Univ. Math. J. 64 (2015) 1271 - 1290</dc:relation>
<dc:coverage>state-of-the-art mathematics</dc:coverage>
<dc:rights>http://iumj.org/access/</dc:rights>
</oai_dc:dc>