V. Sloushch

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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…