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dc.contributor.authorKassmann, Moritz
dc.contributor.authorPiatnitski, Andrey
dc.contributor.authorZhizhina, Elena
dc.date.accessioned2020-03-05T14:12:56Z
dc.date.available2020-03-05T14:12:56Z
dc.date.issued2019-01-05
dc.description.abstractThe paper deals with homogenization of Lévy-type operators with rapidly oscillating coefficients. We consider cases of periodic and random statistically homogeneous micro-structures and show that in the limit we obtain a Lévy-operator. In the periodic case we study both symmetric and non-symmetric kernels whereas in the random case we only investigate symmetric kernels. We also address a nonlinear version of this homogenization problem.en_US
dc.identifier.citationKassmann, M., Piatnitski, A., Zhizhina, E. (2019) Homogenization of Levy-type operators with oscillating coefficients. <i> SIAM Journal on Mathematical Analysis, 51</i>, (5), 3641-3665en_US
dc.identifier.cristinIDFRIDAID 1750053
dc.identifier.doihttps://doi.org/10.1137/18M1200038
dc.identifier.issn0036-1410
dc.identifier.issn1095-7154
dc.identifier.urihttps://hdl.handle.net/10037/17649
dc.language.isoengen_US
dc.publisherSociety for Industrial and Applied Mathematics (SIAM)en_US
dc.relation.journalSIAM Journal on Mathematical Analysis
dc.rights.accessRightsopenAccessen_US
dc.rights.holder© 2019, Society for Industrial and Applied Mathematicsen_US
dc.subjectVDP::Mathematics and natural science: 400::Mathematics: 410en_US
dc.subjectVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410en_US
dc.titleHomogenization of Levy-type operators with oscillating coefficientsen_US
dc.type.versionsubmittedVersionen_US
dc.typeJournal articleen_US
dc.typeTidsskriftartikkelen_US
dc.typePeer revieweden_US


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