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Journal Articles Indiana University Mathematics Journal Year : 2015

Traces of functions of bounded deformation

Jean-François Babadjian
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Abstract

This paper is devoted to give 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.
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Dates and versions

hal-00853744 , version 1 (26-08-2013)
hal-00853744 , version 2 (11-04-2014)

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Jean-François Babadjian. Traces of functions of bounded deformation. Indiana University Mathematics Journal, 2015, 64, pp.1271-1290. ⟨hal-00853744v2⟩
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