✦ LIBER ✦

The Limiting Absorption Principle for Elastic Wave Propagation Problems in Perturbed Stratified Media ℝ3

✍ Scribed by Senjo Shimizu

Publisher: John Wiley and Sons
Year: 1996
Tongue: English
Weight: 924 KB
Volume: 19
Category: Article
ISSN: 0170-4214
DOI: 10.1002/(sici)1099-1476(199602)19:3<187::aid-mma766>3.0.co;2-m

No coin nor oath required. For personal study only.

✦ Synopsis

Communicated by Y. Shibata

We consider the self-adjoint operator governing the propagation of elastic waves in perturbed stratified media R3 with free boundary-interface conditions. In this paper we establish the limiting absorption principle for this self-adjoint operator in appropriate Hilbert space. The proof of the limiting absorption principle is based on the division theorem which is proved by means of eigenfunction expansions for the self-adjoint operator governing the propagation of elastic waves in unperturbed stratified media R3.