It is proved that small periodic singular perturbation of a cylindrical waveguide surface may open a gap in the continuous 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.
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. (C) 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
A gap in the essential spectrum of a cylindrical waveguide with a periodic perturbation of the surface
Cardone G;Perugia C
2010-01-01
Abstract
It is proved that small periodic singular perturbation of a cylindrical waveguide surface may open a gap in the continuous 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.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
CaNaPeMathNachJournal.pdf
non disponibili
Licenza:
Non specificato
Dimensione
253.69 kB
Formato
Adobe PDF
|
253.69 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
