Traces of functions of bounded deformation

By Jean-François Babadjian. 2013

56 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/f19c42858592fcf44c34c8fb00a0bb98c00a6161

Citations in the corpus

• Compactness and lower semicontinuity in $GSBD$ (2018, unknown): “For a complete treatment of BV , SBV functions and BD, SBD functions, we refer to [5] and to [4, 8, 6, 35], respectively.”