A. Khrabustovskyi

activity

20242026

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math.AP2026

Homogenization and operator estimates for Steklov problems in perforated domains

Andrii Khrabustovskyi, Jari Taskinen

Let the set $I^c ◯_{ε}$ be obtained from the bounded domain $I^c ◯$ by removing a family of $ε$ -periodically distributed identical balls. In $I^c ◯_{ε}$ one consid…

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 $I^´^{'}$ -type by Neumann Laplacians on a family of Riemannian manifolds with a sieve-like str…