42 citations · 110 across the 6 of their papers we have counts for
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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…
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…
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…