59 citations · 456 across the 26 of their papers we have counts for
4 papers · 2 filters
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…
The localization effect for eigenfunctions of the mixed boundary value problem in a thin cylinder with distorted ends
G. Cardone, T. Durante, S. A. Nazarov
A simple sufficient condition on curved end of a straight cylinder is found that provides a localization of the principal eigenfunction of the mixed boundary value for the Laplace…
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…
Homogenization of the planar waveguide with frequently alternating boundary conditions
D. Borisov, G. Cardone
We consider Laplacian in a planar strip with Dirichlet boundary condition on the upper boundary and with frequent alternation boundary condition on the lower boundary. The alternat…