dc.contributor.author Covi, Giovanni dc.date.accessioned 2020-02-19T12:23:06Z dc.date.available 2020-02-19T12:23:06Z dc.date.issued 2020 dc.identifier.citation Covi, G. (2020). Inverse problems for a fractional conductivity equation. Nonlinear Analysis: Theory, Methods and Applications, 193, 111418. https://doi.org/10.1016/j.na.2019.01.008 dc.identifier.other CONVID_28919629 dc.identifier.other TUTKAID_80654 dc.identifier.uri https://jyx.jyu.fi/handle/123456789/67895 dc.description.abstract This paper shows global uniqueness in two inverse problems for a fractional conductivity equation: an unknown conductivity in a bounded domain is uniquely determined by measurements of solutions taken in arbitrary open, possibly disjoint subsets of the exterior. Both the cases of infinitely many measurements and a single measurement are addressed. The results are based on a reduction from the fractional conductivity equation to the fractional Schrödinger equation, and as such represent extensions of previous works. Moreover, a simple application is shown in which the fractional conductivity equation is put into relation with a long jump random walk with weights. en dc.format.mimetype application/pdf dc.language.iso eng dc.publisher Pergamon Press dc.relation.ispartofseries Nonlinear Analysis: Theory, Methods and Applications dc.rights CC BY-NC-ND 4.0 dc.subject.other fractional conductivity equation dc.subject.other non-local operators dc.subject.other calderón problem dc.title Inverse problems for a fractional conductivity equation dc.type article dc.identifier.urn URN:NBN:fi:jyu-202002122058 dc.contributor.laitos Matematiikan ja tilastotieteen laitos fi dc.contributor.laitos Department of Mathematics and Statistics en dc.contributor.oppiaine Matematiikka fi dc.contributor.oppiaine Mathematics en dc.type.uri http://purl.org/eprint/type/JournalArticle dc.date.updated 2020-02-12T16:15:27Z dc.type.coar http://purl.org/coar/resource_type/c_2df8fbb1 dc.description.reviewstatus peerReviewed dc.format.pagerange 111418 dc.relation.issn 0362-546X dc.relation.numberinseries 0 dc.relation.volume 193 dc.type.version publishedVersion dc.rights.copyright ©2019 The Author(s) dc.rights.accesslevel openAccess fi dc.relation.grantnumber 770924 dc.relation.grantnumber 770924 dc.relation.projectid info:eu-repo/grantAgreement/EC/H2020/770924/EU//IPTheoryUnified dc.subject.yso osittaisdifferentiaaliyhtälöt dc.subject.yso inversio-ongelmat dc.format.content fulltext jyx.subject.uri http://www.yso.fi/onto/yso/p12392 jyx.subject.uri http://www.yso.fi/onto/yso/p27912 dc.rights.url https://creativecommons.org/licenses/by-nc-nd/4.0/ dc.relation.doi 10.1016/j.na.2019.01.008 dc.relation.funder European Commission en dc.relation.funder Euroopan komissio fi jyx.fundingprogram ERC Consolidator Grant en jyx.fundingprogram ERC Consolidator Grant fi jyx.fundinginformation This work is part of the PhD research of the author. The author was partially supported by the European Research Council under Horizon 2020 (ERC CoG 770924). The author wishes to dearly thank professor M. Salo for his precious ideas and helpful discussion in the making of this work. dc.type.okm A1
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