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

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7 papers · 1 filter

math.AP2026

Homogenization and operator estimates for Steklov problems in perforated domains

Andrii Khrabustovskyi, Jari Taskinen

Let the set $Ω_{ε}$ be obtained from the bounded domain $Ω$ by removing a family of $ε$ -periodically distributed identical balls. In $Ω_{ε}$ one considers…

math.AP2025

A geometric approximation of non-local interface and boundary conditions

Pavel Exner, Andrii Khrabustovskyi

We analyze an approximation of a Laplacian subject to non-local interface conditions of a $δ^{'}$ -type by Neumann Laplacians on a family of Riemannian manifolds with a sieve-like stru…

math.AP2024

Homogenization of the Dirac operator with position-dependent mass

Andrii Khrabustovskyi, Vladimir Lotoreichik

We address the homogenization of the two-dimensional Dirac operator with position-dependent mass. The mass is piecewise constant and supported on small pairwise disjoint inclusions…

math.AP2024

The Neumann sieve problem revisited

Andrii Khrabustovskyi

Let $Ω \subset R^{n}$ be a domain, $Γ$ be a hyperplane intersecting it. Let $ε > 0$ , and $Ω_{ε} = Ω ∖ Σ_{ε}$ , where $Σ_{ε}$ ("si…

math.AP2022

Operator estimates for Neumann sieve problem

Andrii Khrabustovskyi

Let $Ω$ be a domain in $R^{n}$ , $Γ$ be a hyperplane intersecting $Ω$ , $ε > 0$ be a small parameter, and $D_{k, ε}$ , $k = 1, 2, 3 \dots$ be a family of small "hol…

math.AP2021

Operator estimates for homogenization of the Robin Laplacian in a perforated domain

Andrii Khrabustovskyi, Michael Plum

Let $ε > 0$ be a small parameter. We consider the domain $Ω_{ε} := Ω ∖ D_{ε}$ , where $Ω$ is an open domain in $R^{n}$ , and $D_{ε}$ is a…

math.AP2018★ 4 cited

The inverse problem of two-state quantum systems with non-adiabatic static linear coupling

Andrii Khrabustovskyi, Imen Rassas, Éric Soccorsi

We consider the inverse problem of determining the coupling coefficients in a two-state Schrödinger system. We prove a Lipschitz stability inequality for the zeroth and first order…