Andrii Khrabustovskyi

collaborators

2 papers

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.SP2014

On the spectrum of narrow Neumann waveguide with periodically distributed $δ^{'}$ traps

Pavel Exner, Andrii Khrabustovskyi

We analyze a family of singular Schrödinger operators describing a Neumann waveguide with a periodic array of singular traps of a $δ^{'}$ type. We show that in the limit when perpendi…

Operator estimates for Neumann sieve problem

On the spectrum of narrow Neumann waveguide with periodically distributed δ′ traps

On the spectrum of narrow Neumann waveguide with periodically distributed $δ^{'}$ traps