26 citations · 63 across the 7 of their papers we have counts for
5 papers · 1 filter
The spectrum, radiation conditions and the Fredholm property for the Dirichlet Laplacian in a perforated plane with semi-infinite inclusions
Giuseppe Cardone, Tiziana Durante, Sergey A. Nazarov
We consider the spectral Dirichlet problem for the Laplace operator in the plane with double-periodic perforation but also in the domain with a semi-infin…
Embedded eigenvalues of the Neumann problem in a strip with a box-shaped perturbation
G. Cardone, T. Durante, S. A. Nazarov
We consider the spectral Neumann problem for the Laplace operator in an acoustic waveguide obtained from a straight unit strip by a low box-shaped perturbatio…
A sufficient condition for a discrete spectrum of the Kirchhoff plate with an infinite peak
F. L. Bakharev, S. A. Nazarov, G. H. Sweers
Sufficient conditions for a discrete spectrum of the biharmonic equation in a two-dimensional peak-shaped domain are established. Different boundary conditions from Kirchhoff's pla…
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…
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…