A class of topographical waveguides

Babich, V.

doi:10.1090/S1061-0022-2010-01134-8

A class of topographical waveguides
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by V. M. Babich
Translated by: S. V. Kislyakov

St. Petersburg Math. J. 22 (2011), 73-79

DOI: https://doi.org/10.1090/S1061-0022-2010-01134-8

Published electronically: November 17, 2010

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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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