Approximation durch Lösungen partieller Differentialgleichungen

Abstract

Remembering earlier $L_2$-approximation theorems of H. Beckert and the authors such approximations are studied in the uniform sense along a surface $\Gamma$, which is lying in the interior of the domain of a boundary value problem of a linear elliptic differential equation of second order, having eigen-solutions in the domain bounded by $\Gamma$.