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dc.contributor.authorCovi, Giovanni
dc.date.accessioned2020-02-19T12:23:06Z
dc.date.available2020-02-19T12:23:06Z
dc.date.issued2020
dc.identifier.citationCovi, G. (2020). Inverse problems for a fractional conductivity equation. <i>Nonlinear Analysis: Theory, Methods and Applications</i>, <i>193</i>, 111418. <a href="https://doi.org/10.1016/j.na.2019.01.008" target="_blank">https://doi.org/10.1016/j.na.2019.01.008</a>
dc.identifier.otherCONVID_28919629
dc.identifier.otherTUTKAID_80654
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/67895
dc.description.abstractThis 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.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherPergamon Press
dc.relation.ispartofseriesNonlinear Analysis: Theory, Methods and Applications
dc.rightsCC BY-NC-ND 4.0
dc.subject.otherfractional conductivity equation
dc.subject.othernon-local operators
dc.subject.othercalderón problem
dc.titleInverse problems for a fractional conductivity equation
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-202002122058
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.contributor.oppiaineMatematiikkafi
dc.contributor.oppiaineMathematicsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.date.updated2020-02-12T16:15:27Z
dc.type.coarhttp://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatuspeerReviewed
dc.format.pagerange111418
dc.relation.issn0362-546X
dc.relation.numberinseries0
dc.relation.volume193
dc.type.versionpublishedVersion
dc.rights.copyright©2019 The Author(s)
dc.rights.accesslevelopenAccessfi
dc.relation.grantnumber770924
dc.relation.grantnumber770924
dc.relation.projectidinfo:eu-repo/grantAgreement/EC/H2020/770924/EU//IPTheoryUnified
dc.subject.ysoosittaisdifferentiaaliyhtälöt
dc.subject.ysoinversio-ongelmat
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p12392
jyx.subject.urihttp://www.yso.fi/onto/yso/p27912
dc.rights.urlhttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.relation.doi10.1016/j.na.2019.01.008
dc.relation.funderEuropean Commissionen
dc.relation.funderEuroopan komissiofi
jyx.fundingprogramERC Consolidator Granten
jyx.fundingprogramERC Consolidator Grantfi
jyx.fundinginformationThis 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.okmA1


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