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

Andrei Piatnitski, Vladimir Sloushch, Tatiana Suslina +1

In $L_2({\mathbb{R}}^d)$, we consider a selfadjoint bounded operator ${\mathbb{A}}_{\epsilon }$, $\epsilon >0$, of the form $$ ({\mathbb A}_\varepsilon u) (\mathbf{x}) = \varepsilo…