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Eigenfunctions of the continuous spectrum of a waveguide with periodic boundary

โœ Scribed by K. V. Malykhin


Publisher
Springer US
Year
1989
Tongue
English
Weight
419 KB
Volume
45
Category
Article
ISSN
1573-8795

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๐Ÿ“œ SIMILAR VOLUMES


A gap in the essential spectrum of a cyl
โœ Giuseppe Cardone; Sergey A. Nazarov; Carmen Perugia ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 254 KB

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.