Inserted: 26 feb 1999
Last Updated: 21 jun 2002
Journal: Proc. Roy. Soc. Edinburgh Sect. A
The purpose of this paper is to establish a Lusin type approximation of functions with bounded deformation by Lipschitz or $C^1$ functions. The main ingredients in the proof of our result are the maximal function of the measure $Eu$, the ``Poincare' type'' result by R. Kohn and the approximate symmetric differentiabily of $BD$ functions by Ambrosio-Coscia-Dal Maso.