A. Khrabustovskyi

activity

20152026

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

2 citations · 2 across the 10 of their papers we have counts for

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math.SP2026

Periodic discrete graphs with prescribed spectrum

Andrii Khrabustovskyi, Anna Muranova

We construct a periodic weighted graph whose discrete Laplacian has a spectrum with precisely $n$ gaps. Moreover, we show that by an appropriate choice of the weights, the endpoint…

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…