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Homogenization of non-symmetric operators of convolution type

A. L. Piatnitski

Narvik Institute of Technology



Abstract: The report will talk about the averaging of parabolic equations for asymmetric operators of convolution type with an integrable kernel. On the assumption that medium has a periodic microstructure, we will show that the corresponding Cauchy problem admits averaging in moving coordinates, and we study the structure of the limit operator.


© Steklov Math. Inst. of RAS, 2026