A. Khrabustovskyi

activity

20102026

most citedBeyond local effective material properties for metamaterials

33 citations · 146 across the 30 of their papers we have counts for

collaborators

Showing 2014Show all

3 papers · 1 filter

math.SP2014

Neumann spectral problem in a domain with very corrugated boundary

Giuseppe Cardone, Andrii Khrabustovskyi

Let $Ω \subset R^{n}$ be a bounded domain. We perturb it to a domain $Ω^{ε}$ attaching a family of small protuberances with "room-and-passage"-like geometry ($\varepsi…

math.SP2014

On the spectrum of narrow Neumann waveguide with periodically distributed $δ^{'}$ traps

Pavel Exner, Andrii Khrabustovskyi

We analyze a family of singular Schrödinger operators describing a Neumann waveguide with a periodic array of singular traps of a $δ^{'}$ type. We show that in the limit when perpendi…

math.SP2014

Spectral properties of elliptic operator with double-contrast coefficients near a hyperplane

Andrii Khrabustovskyi, Michael Plum

In this paper we study the asymptotic behaviour as $ε \to 0$ of the spectrum of the elliptic operator $\mathcal{A}^\varepsilon=-{1\over b^\varepsilon}\mathrm{div}(a^\varep…

Neumann spectral problem in a domain with very corrugated boundary

On the spectrum of narrow Neumann waveguide with periodically distributed δ′ traps

Spectral properties of elliptic operator with double-contrast coefficients near a hyperplane

On the spectrum of narrow Neumann waveguide with periodically distributed $δ^{'}$ traps