Scattering Theory for Elastic Wave Propagation Problems in Perturbed Stratified Media II

Abstract

We consider a self-adjoint operator governing the propagation of elastic waves in stratified media ${\mathbf{R}}^3$, where Lame functions and a density are perturbed in a compact region. In this paper we prove the existence, the completeness, and the invariance principle of wave operators associated with the self-adjoint operator and a self-adjoint operator governing the propagation of elastic waves in unperturbed stratified media ${\mathbf{R}}^3$. The proof is based on an abstract scattering theory due to M. S. Birman.