58 citations · 67 across the 3 of their papers we have counts for
5 papers
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…
Homogenization and norm resolvent convergence for elliptic operators in a strip perforated along a curve
Denis Borisov, Giuseppe Cardone, Tiziana Durante
We consider an infinite planar straight strip perforated by small holes along a curve. In such domain, we consider a general second order elliptic operator subject to classical bou…
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…