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dc.contributor.authorGrigor'yan, Alexander
dc.contributor.authorKondratiev, Yuri
dc.contributor.authorPiatnitski, Andrey
dc.contributor.authorZhizhina, Elena
dc.date.accessioned2019-03-13T12:00:07Z
dc.date.available2019-03-13T12:00:07Z
dc.date.issued2018-04-16
dc.description.abstractWe study the large‐time behaviour of the fundamental solution of parabolic equations with an elliptic part being non‐local convolution‐type operator. We assume that this operator is a generator of a Markov jump process, and that its convolution kernel decays at least exponentially at infinity. The fundamental solution shows rather different asymptotic behaviour depending on whether | x | ≲ t , or t ≪ | x | ≪ t , or | x | ∼ t , or | x | ≫ t . In each of these regions we obtain sharp pointwise estimates for the fundamental solution.en_US
dc.description.sponsorshipThe work was supported by SFB1283 of German Research Council. The third and the forth authors were partially supported by the Russian Science Foundation, Project 14-50-00150en_US
dc.descriptionAccepted manuscript version, Published version at: <a href=https://doi.org/10.1112/plms.12144>https://doi.org/10.1112/plms.12144. </a>en_US
dc.identifier.citationGrigor'yan, A., Kondratiev, Y., Piatnitski A. & Zhizhina, E. (2018). Pointwise estimates for heat kernels of convolution-type operators. <i>Proceedings of the London Mathematical Society, 117</i>(4), 849-880. https://doi.org/10.1112/plms.12144>https://doi.org/10.1112/plms.12144 </a>en_US
dc.identifier.issn0024-6115
dc.identifier.issn1460-244X
dc.identifier.otherFRIDAID 1628305
dc.identifier.other10.1112/plms.12144
dc.identifier.urihttps://hdl.handle.net/10037/14967
dc.language.isoengen_US
dc.publisherLondon Mathematical Societyen_US
dc.relation.journalProceedings of the London Mathematical Society
dc.rights.accessRightsopenAccessen_US
dc.subjectVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410en_US
dc.titlePointwise estimates for heat kernels of convolution-type operatorsen_US
dc.typeJournal articleen_US
dc.typePeer revieweden_US
dc.typeTidsskriftartikkel


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