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

Senjo Shimizu | Zendy

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

Author(s) -

Senjo Shimizu

Publication year - 1997

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1195145319

Subject(s) - mathematics , scattering , mathematical analysis , physics , optics

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. §

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