Über das Verhalten der Lösungen der Maxwellschen Randwertaufgabe in Gebieten mit Kegelspitzen

We study the behavior of the solution E of the Maxwell's boundary value problem ∇ × ∇ × E + λ E = F, n × E |r = 0 in domains Ω which have conical boundary points. In a neighbourhood K(R) = B(a,R) ∩ Ω of a singular boundary point a the field E is expanded using a theorem of N. Weck. It e.g. turns out that the solution lies in H 1 (3) (K(R)) if K(R) is convex.