20 citations · 96 across the 22 of their papers we have counts for
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Spectrum of the Laplacian with mixed boundary conditions in a chamfered quarter of layer
Lucas Chesnel, Sergei A. Nazarov, Jari Taskinen
We investigate the spectrum of a Laplace operator with mixed boundary conditions in an unbounded chamfered quarter of layer. This problem arises in the study of the spectrum of the…
Spectrum of the Dirichlet Laplacian in a thin cubic lattice
Lucas Chesnel, Sergei A. Nazarov
We give a description of the lower part of the spectrum of the Dirichlet Laplacian in an unbounded 3D periodic lattice made of thin bars (of width ) which have a s…
Self-adjoint and skew-symmetric extensions of the Laplacian with singular Robin boundary condition
Sergei A. Nazarov, Nicolas Popoff
We study the Laplacian in a smooth bounded domain, with a varying Robin boundary condition singular at one point. The associated quadratic form is not semi-bounded from below, and…
Criteria for the Absence and Existence of Bounded Solutions at the Threshold Frequency in a Junction of Quantum Waveguides
Fedor L. Bakharev, Sergei A. Nazarov
In the junction of several semi-infinite cylindrical waveguides we consider the Dirichlet Laplacian whose continuous spectrum is the ray with a positive…