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dc.contributor.authorIlmavirta, Joonas
dc.contributor.authorMönkkönen, Keijo
dc.date.accessioned2021-07-14T07:20:55Z
dc.date.available2021-07-14T07:20:55Z
dc.date.issued2021
dc.identifier.citationIlmavirta, J., & Mönkkönen, K. (2021). X-ray Tomography of One-forms with Partial Data. <i>SIAM Journal on Mathematical Analysis</i>, <i>53</i>(3), 3002-3015. <a href="https://doi.org/10.1137/20M1344779" target="_blank">https://doi.org/10.1137/20M1344779</a>
dc.identifier.otherCONVID_98908452
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/77127
dc.description.abstractIf the integrals of a one-form over all lines meeting a small open set vanish and the form is closed in this set, then the one-form is exact in the whole Euclidean space. We obtain a unique continuation result for the normal operator of the x-ray transform of one-forms, and this leads to one of our two proofs of the partial data result. Our proofs apply to compactly supported covector-valued distributions.en
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherSociety for Industrial & Applied Mathematics (SIAM)
dc.relation.ispartofseriesSIAM Journal on Mathematical Analysis
dc.rightsIn Copyright
dc.subject.otherinverse problems
dc.subject.otherx-ray tomography
dc.subject.othervector field tomography
dc.subject.othernormal operator
dc.subject.otherunique continuation
dc.titleX-ray Tomography of One-forms with Partial Data
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-202107144312
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.type.coarhttp://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatuspeerReviewed
dc.format.pagerange3002-3015
dc.relation.issn0036-1410
dc.relation.numberinseries3
dc.relation.volume53
dc.type.versionacceptedVersion
dc.rights.copyright© 2021, Society for Industrial and Applied Mathematics
dc.rights.accesslevelopenAccessfi
dc.subject.ysotomografia
dc.subject.ysointegraaliyhtälöt
dc.subject.ysoinversio-ongelmat
dc.subject.ysofunktionaalianalyysi
dc.subject.ysoröntgenkuvaus
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p17798
jyx.subject.urihttp://www.yso.fi/onto/yso/p20357
jyx.subject.urihttp://www.yso.fi/onto/yso/p27912
jyx.subject.urihttp://www.yso.fi/onto/yso/p17780
jyx.subject.urihttp://www.yso.fi/onto/yso/p10181
dc.rights.urlhttp://rightsstatements.org/page/InC/1.0/?language=en
dc.relation.doi10.1137/20M1344779
dc.type.okmA1


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