A mass point moving on a nonsmooth manifold in R^n

We consider a mass point moving on a n1 dimensional manifold with a wedge. To avoid a product of distributions in the equations of motion we regularize the wedge by smooth functions with a small parameter e. Then the question arises whether there exists a limit for the velocity vector after passing the smoothed wedge. In this paper we will give a class of regularizations for which the limit exists and is independent of the special choice of the regularization itself. Furthermore, we give estimates for the quality of approximation depending on the parameter e.