Complete Low Frequency Analysis for the Reduced Wave Equation with Variable Coefficients in Three Dimensions *

Abstract

We study the low frequency asymptotics of the solutions u_w, to some exterior boundary value problems for reduced wave equations in three dimensions with frequencies w. The coefficients of the underlying differential operator and of the right hand sides are allowed to be variable and tend to those of the Laplacian and to 0 respectively at infinity with a certain order. As far as allowed by this order an asymptotic expansion in terms of powers of w is determined.

^∗supported by the Sonderforschungskreich 256 of the Deutsche Forschungsgemeinschaft at the University of Bonn

^∗supported by the Sonderforschungskreich 256 of the Deutsche Forschungsgemeinschaft at the University of Bonn

Notes

^∗supported by the Sonderforschungskreich 256 of the Deutsche Forschungsgemeinschaft at the University of Bonn

Additional information

Notes on contributors

Norbert Weck