15 citations · 17 across the 2 of their papers we have counts for
4 papers
Eigenvalues collision for PT-symmetric waveguide
D. Borisov
We consider a model of planar PT-symmetric waveguide and study the phenomenon of the eigenvalues collision under the perturbation of boundary conditions. This phenomenon was discov…
Planar waveguide with "twisted" boundary conditions: small width
D. Borisov, G. Cardone
We consider a planar waveguide with "twisted" boundary conditions. By twisting we mean a special combination of Dirichlet and Neumann boundary conditions. Assuming that the width o…
Complete asymptotic expansions for eigenvalues of Dirichlet Laplacian in thin three-dimensional rods
D. Borisov, G. Cardone
We consider Dirichlet Laplacian in a thin curved three-dimensional rod. The rod is finite. Its cross-section is constant and small, and rotates along the reference curve in an arbi…
Homogenization of the planar waveguide with frequently alternating boundary conditions
D. Borisov, G. Cardone
We consider Laplacian in a planar strip with Dirichlet boundary condition on the upper boundary and with frequent alternation boundary condition on the lower boundary. The alternat…