E. Zhizhina

activity

20242026

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2 papers · 1 filter

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.AP2025

Periodic homogenization of convolution type operators with heavy tails

Andrey Piatnitski, Elena Zhizhina

The paper deals with periodic homogenization of nonlocal symmetric convolution type operators in $L^{2} (R^{d})$ , whose kernel is the product of a density that belongs to the do…