IUMJ

Title: Traces of functions of bounded deformation

Authors: Jean-Francois Babadjian

Issue: Volume 64 (2015), Issue 4, 1271-1290

Abstract:

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.