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

Scattering theory for elastic wave propagation problems in perturbed stratified media. II