A. Khrabustovskyi

activity

20152022

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

2 citations · 2 across the 5 of their papers we have counts for

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3 papers · 1 filter

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

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…