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dc.contributor.authorFerreira, David Dos Santos
dc.contributor.authorKurylev, Yaroslav
dc.contributor.authorLassas, Matti
dc.contributor.authorLiimatainen, Tony
dc.contributor.authorSalo, Mikko
dc.date.accessioned2020-12-23T10:08:03Z
dc.date.available2020-12-23T10:08:03Z
dc.date.issued2020
dc.identifier.citationFerreira, D. D. S., Kurylev, Y., Lassas, M., Liimatainen, T., & Salo, M. (2020). The Linearized Calderón Problem in Transversally Anisotropic Geometries. <i>International Mathematics Research Notices</i>, <i>2020</i>(22), 8729-8765. <a href="https://doi.org/10.1093/imrn/rny234" target="_blank">https://doi.org/10.1093/imrn/rny234</a>
dc.identifier.otherCONVID_28687762
dc.identifier.otherTUTKAID_79312
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/73409
dc.description.abstractIn this article we study the linearized anisotropic Calderón problem. In a compact manifold with boundary, this problem amounts to showing that products of harmonic functions form a complete set. Assuming that the manifold is transversally anisotropic, we show that the boundary measurements determine an Fourier--Bros--Iagolnitzer-type transform at certain points in the transversal manifold. This leads to proving a uniqueness result for transversal singularities in the linearized problem. The method requires a geometric condition on the transversal manifold related to pairs of intersecting geodesics, but it does not involve the geodesic X-ray transform, which has limited earlier results on this problem.fi
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherOxford University Press
dc.relation.ispartofseriesInternational Mathematics Research Notices
dc.rightsIn Copyright
dc.subject.otherlinearized anisotropic Calderón problem
dc.titleThe Linearized Calderón Problem in Transversally Anisotropic Geometries
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-202012187301
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.contributor.oppiaineMatematiikkafi
dc.contributor.oppiaineInversio-ongelmien huippuyksikköfi
dc.contributor.oppiaineMathematicsen
dc.contributor.oppiaineCentre of Excellence in Inverse Problemsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.date.updated2020-12-18T17:12:27Z
dc.type.coarhttp://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatuspeerReviewed
dc.format.pagerange8729-8765
dc.relation.issn1073-7928
dc.relation.numberinseries22
dc.relation.volume2020
dc.type.versionacceptedVersion
dc.rights.copyright© 2018 the Authors
dc.rights.accesslevelopenAccessfi
dc.format.contentfulltext
dc.rights.urlhttp://rightsstatements.org/page/InC/1.0/?language=en
dc.relation.doi10.1093/imrn/rny234
dc.type.okmA1


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