A. Khrabustovskyi

activity

20152025

most citedConstruction of self-adjoint differential operators with prescribed spectral properties

2 citations · 2 across the 7 of their papers we have counts for

collaborators

Showing 2018 · math.SPShow all

3 papers · 2 filters

math.SP2018

$δ^{'}$ -interaction as a limit of a thin Neumann waveguide with transversal window

Giuseppe Cardone, Andrii Khrabustovskyi

We consider a waveguide-like domain consisting of two thin straight tubular domains connected through a tiny window. The perpendicular size of this waveguide is of order $\varepsil…

math.SP2018

Spectral estimates for Dirichlet Laplacian on tubes with exploding twisting velocity

Diana Barseghyan, Andrii Khrabustovskyi

We study the spectrum of the Dirichlet Laplacian on an unbounded twisted tube with twisting velocity exploding to infinity. If the tube cross section does not intersect the axis of…

math.SP2018

Gap control by singular Schrödinger operators in a periodically structured metamaterial

Pavel Exner, Andrii Khrabustovskyi

We consider a family ${H^{ε}}_{ε > 0}$ of $ε Z^{n}$ -periodic Schrödinger operators with $δ^{'}$ -interactions supported on a lattice of clos…

δ′-interaction as a limit of a thin Neumann waveguide with transversal window

Spectral estimates for Dirichlet Laplacian on tubes with exploding twisting velocity

Gap control by singular Schrödinger operators in a periodically structured metamaterial

$δ^{'}$ -interaction as a limit of a thin Neumann waveguide with transversal window