7 citations · 7 across the 6 of their papers we have counts for
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Fractional Laplacian in bended strip
Fedor Bakharev, Sergey Matveenko
The spectral properties of the restricted fractional Laplacian with Dirichlet boundary conditions in a smoothly bent waveguide is investigated. The existence of eigenvalues below t…
Monotonicity of discrete spectra of Dirichlet Laplacian in 3-dimensional layers
Fedor Bakharev, Sergey Matveenko
We investigate monotonicity properties of eigenvalues of the Dirichlet Laplacian in polyhedral layers of fixed width. We establish that eigenvalues below the essential spectrum thr…
Fractional Laplacian in V-shaped waveguide
Fedor Bakharev, Sergey Matveenko
The spectral properties of the restricted fractional Dirichlet Laplacian in -shaped waveguides are studied. The continuous spectrum for such domains with cylindrical outle…
Spectra of Dirichlet Laplacian in 3-dimensional polyhedral layers
Fedor Bakharev, Sergey Matveenko
The structure of the spectrum of the three-dimensional Dirichlet Laplacian in the 3D polyhedral layer of fixed width is studied. It appears that the essential spectrum is defined b…