A. Khrabustovskyi

activity

20152017

collaborators

4 papers

math.SP2017

Operator estimates for the crushed ice problem

Andrii Khrabustovskyi, Olaf Post

Let $Δ_{Ω_{ε}}$ be the Dirichlet Laplacian in the domain $Ω_{ε} := Ω ∖ (\cup_{i} D_{i ε})$ . Here $Ω \subset R^{n}$ and $\{D_{i \varepsil…

physics.class-ph2017

Interface conditions for a metamaterial with strong spatial dispersion

Andrii Khrabustovskyi, Karim Mnasri, Michael Plum +2

Local constitutive relations, i.e. a weak spatial dispersion, are usually considered in the effective description of metamaterials. However, they are often insufficient and effects…

math.SP2016

Example of periodic Neumann waveguide with gap in spectrum

Giuseppe Cardone, Andrii Khrabustovskyi

In this note we investigate spectral properties of a periodic waveguide $Ω^{ε}$ ( $ε$ is a small parameter) obtained from a straight strip by attaching an array of…

math.SP2015

Gaps in the spectrum of a periodic quantum graph with periodically distributed $δ^{'}$ -type interactions

Diana Barseghyan, Andrii Khrabustovskyi

We consider a family of quantum graphs ${(Γ, A_{ε})}_{ε > 0}$ , where $Γ$ is a $Z^{n}$ -periodic metric graph and the periodic Hamiltonian $\mathcal…

Operator estimates for the crushed ice problem

Interface conditions for a metamaterial with strong spatial dispersion

Example of periodic Neumann waveguide with gap in spectrum

Gaps in the spectrum of a periodic quantum graph with periodically distributed δ′-type interactions

Gaps in the spectrum of a periodic quantum graph with periodically distributed $δ^{'}$ -type interactions