42 citations · 110 across the 6 of their papers we have counts for
7 papers
The stiff Neumann problem: asymptotic specialty and "kissing" domains
V. Chiadò Piat, L. D'Elia, S. A. Nazarov
We study the stiff spectral Neumann problem for the Laplace operator in a smooth bounded domain which is divided into two subdomains: an annulus and a…
Examples of Plentiful Discrete Spectra in0 Infinite Spatial Cruciform Quantum Waveguides
F. L. Bakharev, S. G. Matveenko, S. A. Nazarov
Spatial cruciform quantum waveguides (the Dirichlet problem for Laplace operator) are constructed such that the total multiplicity of the discrete spectrum exceeds any preassigned…
Effects of Rayleigh waves on the essential spectrum in perturbed doubly periodic elliptic problems
F. L. Bakharev, G. Cardone, S. A. Nazarov +1
We give an example of a scalar second order differential operator in the plane with double periodic coefficients and describe its modification, which causes an additional spectral…
Spectra of open waveguides in periodic media
G. Cardone, S. A. Nazarov, J. Taskinen
We study the essential spectra of formally self-adjoint elliptic systems on doubly periodic planar domains perturbed by a semi-infinite periodic row of foreign inclusions. We show…
A gap in the spectrum of the Neumann-Laplacian on a periodic waveguide
F. L. Bakharev, S. A. Nazarov, K. M. Ruotsalainen
We will study the spectral problem related to the Laplace operator in a singularly perturbed periodic waveguide. The waveguide is a quasi-cylinder with contains periodic arrangemen…
Asymptotic analysis, polarization matrices and topological derivatives for piezoelectric materials with small voids
G. Cardone, S. A. Nazarov, J. Sokolowski
Asymptotic formulae for the mechanical and electric fields in a piezoelectric body with a small void are derived and justified. Such results are new and useful for applications in…
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…