The Explicit Solution of Elastodynamical Diffraction Problems by Symbol Factorization

Abstract

A class of linear boundary value problems is considered due to time-harmonic elastic wave propagation in the exterior domain of a half-plane in ${\mathbb{R}}^3$. The explicit solution is obtained from a Wiener-Hopf factorization of specific types of non-rational 3 x 3 matrix functions, which occur as Fourier symbols in the corresponding boundary integral equations.