Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Research Article

Transmission problems for the vector Helmholtz equation

Peter Wildea1

a1 Institut für Numerische und Angewandte Mathematik, Lotzestraße 16-18, D-3400 Göttingen, Federal Republic of Germany

Synopsis

Transmission problems for the vector Helmholtz equation are considered. By using boundary integral equation methods, existence and uniqueness theorems in the form of Fredholm's alternative are established.

(Received November 25 1985)

(Revised May 13 1986)