Scattering Theory for Elastic Wave Propagation Problems in Perturbed Stratified Media II
Senjo Shimizu · Publications of the Research Institute for Mathematical Sciences · 1997
We consider a self-adjoint operator governing the propagation of elastic waves in stratified media \boldsymbol 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 \boldsymbol R^3 . The proof is based on an abstract scattering theory due to M. S. Birman.