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dc.contributor.authorPiatnitski, Andrei
dc.contributor.authorZhizhina, Elena
dc.date.accessioned2024-01-17T13:08:57Z
dc.date.available2024-01-17T13:08:57Z
dc.date.issued2023-02-23
dc.description.abstractThe 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 assumed that the coefficients are rapidly oscillating periodic functions both in spatial and temporal variables and that the scaling is diffusive that is the scaling factor of the temporal variable is equal to the square of the scaling factor of the spatial variable. Under the assumption that the convolution kernel has a finite second moment and that the operator is symmetric in spatial variables we show that the studied equation admits homogenization and prove that the limit operator is a second order differential parabolic operator with constant coefficients.en_US
dc.identifier.citationPiatnitski, Zhizhina. Homogenization of Non-Autonomous Operators of Convolution Type in Periodic Media<sup>∗</sup>. Markov Processes and Related Fields. 2023;29(2):173-188en_US
dc.identifier.cristinIDFRIDAID 2193049
dc.identifier.doi10.61102/1024-2953-mprf.2023.29.2.001
dc.identifier.issn1024-2953
dc.identifier.urihttps://hdl.handle.net/10037/32533
dc.language.isoengen_US
dc.publisherMarkov Processes and Related Fielden_US
dc.relation.journalMarkov Processes and Related Fields
dc.rights.accessRightsopenAccessen_US
dc.rights.holderCopyright 2023 The Author(s)en_US
dc.rights.urihttps://creativecommons.org/licenses/by/4.0en_US
dc.rightsAttribution 4.0 International (CC BY 4.0)en_US
dc.titleHomogenization of Non-Autonomous Operators of Convolution Type in Periodic Media<sup>∗</sup>en_US
dc.type.versionacceptedVersionen_US
dc.typeJournal articleen_US
dc.typeTidsskriftartikkelen_US
dc.typePeer revieweden_US


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Attribution 4.0 International (CC BY 4.0)
Except where otherwise noted, this item's license is described as Attribution 4.0 International (CC BY 4.0)