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arxiv: 1308.5497 · v2 · pith:AXA6AX6Onew · submitted 2013-08-26 · 🧮 math.FA · math.AP

Traces of functions of bounded deformation

classification 🧮 math.FA math.AP
keywords boundeddeformationfunctionsconsequencecountablydefineddevoteddomains
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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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