Traces of functions of bounded deformation

preprint2014arXivOpen access

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 Rn\mathbb{R}^n. As a consequence, the existence of one-sided Lebesgue limits on countably Hn−1\mathcal{H}^{n-1}-rectifiable sets is also established.

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