23 citations · 59 across the 25 of their papers we have counts for
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math.AP2023
Homogenization of nonlocal convolution type operators: Approximation for the resolvent with corrector
Andrei Piatnitski, Vladimir Sloushch, Tatiana Suslina +1
In , we consider a selfadjoint bounded operator , , of the form $$ ({\mathbb A}_\varepsilon u) (\mathbf{x}) = \varepsilo…
math.AP2023
Homogenization of non-autonomous evolution problems for convolution type operators in random media
Andrey Piatnitski, Elena Zhizhina
We study homogenization problem for non-autonomous parabolic equations of the form with an integral convolution type operator that has a non-symmetric j…
math.AP2023
Homogenization of non-autonomous operators of convolution type in periodic media
Andrey Piatnitski, Elena Zhizhina
The paper deals with periodic homogenization problem for a para\-bo\-lic equation whose elliptic part is a convolution type operator with rapidly oscillating coefficients. It is as…