JournalsprimsVol. 33 , No. 3DOI 10.2977/prims/1195145319

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

  • Senjo Shimizu

    Shizuoka University, Japan
Scattering Theory for Elastic Wave Propagation Problems in Perturbed Stratified Media II cover

Abstract

We consider a self-adjoint operator governing the propagation of elastic waves in stratified media _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 _R_3. The proof is based on an abstract scattering theory due to M. S. Birman.