V. Sloushch

activity

20232026

collaborators

4 papers

math.AP2026

Homogenization of Lévy-type operators: operator estimates with correctors

Andrey Piatnitski, Vladimir Sloushch, Tatiana Suslina +1

The goal of the paper is to study in $L_{2} (R^{d})$ a self-adjoint operator ${\mathbb A}_\eps$, $\eps >0$, of the form $$ ({\mathbb A}_\eps u) (\x) = \int_{\R^d} μ(\x/\eps, \y/\eps) \…

math.FA2025

Homogenization of non-symmetric convolution type operators

Andrey Piatnitski, Vladimir Sloushch, Tatiana Suslina +1

The paper studies homogenization problem for a bounded in $L_{2} (R^{d})$ convolution type operator ${\mathbb A}_\eps$, $\eps >0$, of the form $$ ({\mathbb A}_\eps u) (\x) = \ep…

math.AP2024

Operator estimates in homogenization of Lévy-type operators with periodic coefficients

Andrey Piatnitski, Vladimir Sloushch, Tatiana Suslina +1

The paper deals with homogenization of self-adjoint operators in $L_{2} (R^{d})$ of the form $$ ({\mathbb A}_\eps u) (\x) = \int_{\R^d} μ(\x/\eps, \y/\eps) \frac{\left( u(\x) -…

math.AP2023

Homogenization of nonlocal convolution type operators: Approximation for the resolvent with corrector

Andrei Piatnitski, Vladimir Sloushch, Tatiana Suslina +1

In $L_{2} (R^{d})$ , we consider a selfadjoint bounded operator $A_{ε}$ , $ε > 0$ , of the form $$ ({\mathbb A}_\varepsilon u) (\mathbf{x}) = \varepsilo…