Traces of functions of bounded deformation

Jean-François Babadjian (1)

1 LJLL - Laboratoire Jacques-Louis Lions

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.

Mots clés: Functions of bounded deformation; Trace; Rectifiability

Domaines: Analyse fonctionnelle [math.FA]; Equations aux dérivées partielles [math.AP]

Jean-François Babadjian. Traces of functions of bounded deformation. 2013. ⟨hal-00853744v1⟩