Traces of functions of bounded deformation
Jean-francois Babadjian
26B3046E3528A33functions of bounded deformationtracerectifiability
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.
Indiana University Mathematics Journal
2015
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10.1512/iumj.2015.64.5601
10.1512/iumj.2015.64.5601
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Indiana Univ. Math. J. 64 (2015) 1271 - 1290
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