Approximation durch Lösungen elliptischer Randwertprobleme auf nichtglatten Gebietsrändern

Abstract

Let $\Omega \subset {\mathbb{R}}^n$ be a bounded, smootI domain and $\Gamma$ the (not necessary smooth) boundary of an open set ${\Omega }_i\subset \subset \Omega$. it is investigated, under which conditions given tuples of continuous functions (Whitney-Taylorfields) on $\Gamma$ can be uniformly approximated by solutions of elliptic boundary value problems with respect to $\Omega$.