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A gap in the essential spectrum of a cylindrical waveguide with a periodic aperturbation of the surface

โœ Scribed by Giuseppe Cardone; Sergey A. Nazarov; Carmen Perugia

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
254 KB
Volume
283
Category
Article
ISSN
0025-584X

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โœฆ Synopsis

It is proved that small periodic singular perturbation of a cylindrical waveguide surface may open a gap in the essential spectrum of the Dirichlet problem for the Laplace operator. If the perturbation period is long and the caverns in the cylinder are small, the gap certainly opens.

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