Andrii Khrabustovskyi

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20142025

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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

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…