Tatiana Aleksandrovna Suslina

Homogenization of Non-symmetric Convolution Type Operators

The paper studies homogenization problem for a bounded in $$L_2(\mathbb {R}^d)$$ convolution type operator $${\mathbb {A}}_\varepsilon $$ , $$\varepsilon >0$$ , of the form $$\begin{aligned} ({\mathbb {A}}_\varepsilon u) ({\textbf{x}}) = \varepsilon ^{-d-2} \int _{\mathbb {R}^d}...

On Operator Estimates in the Homogenization of Lévy-Type Operators with Periodic Coefficients

Abstract. The paper deals with homogenization of self-adjoint operators in [Formula: see text] of the form [Formula: see text], where [Formula: see text], and [Formula: see text] is a small parameter. It is assumed that the function [Formula: see text] is [Formula: see text]-peri...