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math.SP2016
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…
math.AP2016
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…