26 citations · 63 across the 7 of their papers we have counts for
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math.SP2009★ 24 cited
A gap in the continuous spectrum of a cylindrical waveguide with a periodic perturbation of the surface
G. Cardone, S. A. Nazarov, C. Perugia
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 operato…
math.SP2009★ 26 cited
Water-waves modes trapped in a canal by a body with the rough surface
G. Cardone, T. Durante, S. A. Nazarov
The problem about a body in a three dimensional infinite channel is considered in the framework of the theory of linear water-waves. The body has a rough surface characterized by a…