dc.contributor.author | Ferreira, David Dos Santos | |
dc.contributor.author | Kurylev, Yaroslav | |
dc.contributor.author | Lassas, Matti | |
dc.contributor.author | Liimatainen, Tony | |
dc.contributor.author | Salo, Mikko | |
dc.date.accessioned | 2020-12-23T10:08:03Z | |
dc.date.available | 2020-12-23T10:08:03Z | |
dc.date.issued | 2020 | |
dc.identifier.citation | Ferreira, 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.other | CONVID_28687762 | |
dc.identifier.other | TUTKAID_79312 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/73409 | |
dc.description.abstract | In 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.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.publisher | Oxford University Press | |
dc.relation.ispartofseries | International Mathematics Research Notices | |
dc.rights | In Copyright | |
dc.subject.other | linearized anisotropic Calderón problem | |
dc.title | The Linearized Calderón Problem in Transversally Anisotropic Geometries | |
dc.type | article | |
dc.identifier.urn | URN:NBN:fi:jyu-202012187301 | |
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 | Inversio-ongelmien huippuyksikkö | fi |
dc.contributor.oppiaine | Mathematics | en |
dc.contributor.oppiaine | Centre of Excellence in Inverse Problems | en |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
dc.date.updated | 2020-12-18T17:12:27Z | |
dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
dc.description.reviewstatus | peerReviewed | |
dc.format.pagerange | 8729-8765 | |
dc.relation.issn | 1073-7928 | |
dc.relation.numberinseries | 22 | |
dc.relation.volume | 2020 | |
dc.type.version | acceptedVersion | |
dc.rights.copyright | © 2018 the Authors | |
dc.rights.accesslevel | openAccess | fi |
dc.format.content | fulltext | |
dc.rights.url | http://rightsstatements.org/page/InC/1.0/?language=en | |
dc.relation.doi | 10.1093/imrn/rny234 | |
dc.type.okm | A1 | |