NDLI: Title THE LIMITING ABSORPTION PRINCIPLE FOR ELASTIC WAVE PROPAGATION PROBLEMS IN PERTURBED STRATIFIED MEDIA R$^3$(Spectral and Scattering Theory

Content Provider	Semantic Scholar
Author	Shimizu, Senjo
Copyright Year	2018
Abstract	We consider the self-adjoint operator governing the propagation of elastic waves in perturbed stratified media $\mathrm{R}^{3}$ 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 $\mathrm{R}^{3}$ .
File Format	PDF HTM / HTML
Alternate Webpage(s)	https://repository.kulib.kyoto-u.ac.jp/dspace/bitstream/2433/59420/1/0905-13.pdf
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

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