3 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 a self-adjoint operator ${\mathbb A}_\eps$, $\eps >0$, of the form $$ ({\mathbb A}_\eps u) (\x) = \int_{\R^d} μ(\x/\eps, \y/\eps)…
math.FA2025
Homogenization of non-symmetric convolution type operators
Andrey Piatnitski, Vladimir Sloushch, Tatiana Suslina +1
The paper studies homogenization problem for a bounded in convolution type operator ${\mathbb A}_\eps$, $\eps >0$, of the form $$ ({\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 of the form $$ ({\mathbb A}_\eps u) (\x) = \int_{\R^d} μ(\x/\eps, \y/\eps) \frac{\left( u(\x) -…