English

Traces of functions of bounded deformation

Functional Analysis 2014-04-14 v2 Analysis of PDEs

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 Hn1\mathcal{H}^{n-1}-rectifiable sets is also established.

Keywords

Cite

@article{arxiv.1308.5497,
  title  = {Traces of functions of bounded deformation},
  author = {Jean-François Babadjian},
  journal= {arXiv preprint arXiv:1308.5497},
  year   = {2014}
}