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St. Petersburg Mathematical Journal
St. Petersburg Mathematical Journal
ISSN 1547-7371(online) ISSN 1061-0022(print)

A class of topographical waveguides


Author: V. M. Babich
Translated by: S. V. Kislyakov
Original publication: Algebra i Analiz, tom 22 (2009), nomer 1.
Journal: St. Petersburg Math. J. 22 (2011), 73-79
MSC (2010): Primary 35Q86, 74L05
Published electronically: November 17, 2010
MathSciNet review: 2641083
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Abstract: In the case of some infinite domains, it is shown that the spectrum of the elasticity theory operator is not purely continuous. This implies the existence of a new class of the so-called topographical waveguides.


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Additional Information

V. M. Babich
Affiliation: St. Petersburg Branch, Steklov Mathematical Institute, 27 Fontanka, St. Petersburg 191023, Russia
Email: babich@pdmi.ras.ru

DOI: http://dx.doi.org/10.1090/S1061-0022-2010-01134-8
PII: S 1061-0022(2010)01134-8
Keywords: Waveguide, point spectrum, selfadjoint operator, elasticity theory equations
Received by editor(s): September 2, 2009
Published electronically: November 17, 2010
Additional Notes: Supported by RFBR (grant no. 07-01-548)
Article copyright: © Copyright 2010 American Mathematical Society