JournalsprimsVol. 33, No. 3pp. 341–358

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
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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.

Cite this article

Senjo Shimizu, Scattering Theory for Elastic Wave Propagation Problems in Perturbed Stratified Media II. Publ. Res. Inst. Math. Sci. 33 (1997), no. 3, pp. 341–358

DOI 10.2977/PRIMS/1195145319