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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.

Website: https://teams.microsoft.com/l/meetup-join/19%3ameeting_YzMyMjgxMjktYTY5ZC00M2Y4LWIzYTgtNDVjNTMxZTM1Njhh%40thread.v2/0?context=%7b%22Tid%22%3a%222ae95c20-c675-4c48-88d3-f276b762bf52%22%2c%22Oid%22%3a%2266c4b047-af30-41c8-9097-2039bac83cbc%22%7d


© Steklov Math. Inst. of RAS, 2024