Effects of Rayleigh Waves on the Essential Spectrum in Perturbed Doubly Periodic Elliptic Problems-Reference-Cited by-同舟云学术

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Effects of Rayleigh Waves on the Essential Spectrum in Perturbed Doubly Periodic Elliptic Problems

Published:2017-05-29 Issue:3 Volume:88 Page:373-386
ISSN:0378-620X
Container-title:Integral Equations and Operator Theory
language:en
Short-container-title:Integr. Equ. Oper. Theory

Author:

Bakharev F. L.,Cardone G.^ORCID,Nazarov S. A.,Taskinen J.

Funder

Russian Foundation of Basic Research

Academy of Finland

Väisälä Foundation of the Finnish Academy of Sciences and Letters.

GNAMPA, INDAM

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Link

http://link.springer.com/article/10.1007/s00020-017-2379-5/fulltext.html

Reference24 articles.

1. Cardone, G., Nazarov, S.A., Taskinen, J.: Spectra of open waveguides in periodic media. J. Funct. Anal. 269, 2328–2364 (2015)

2. Rayleigh, L.: On the maintenance of vibrations by forces of double frequency, and on the propagation of waves through a medium endowed with a periodic structure. Philos. Mag. 24, 145–159 (1887)

3. Shams, M., Ogden, R.W.: On Rayleigh-type surface waves in an initially stressed incompressible elastic solid. IMA J. Appl. Math. 79, 360–376 (2014)

4. Kamotskii, I.V., Kiselev, A.P.: An energy approach to the proof of the existence of Rayleigh waves in an anisotropic elastic half-space. J. Appl. Math. Mech. 73, 464–470 (2009)

5. Hempel, R., Lienau, K.: Spectral properties of periodic media in the large coupling limit. Commun. Partial Differ. Equ. 25, 1445–1470 (2000)

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