X-ray Tomography of One-forms with Partial Data
| dc.contributor.author | Ilmavirta, Joonas | |
| dc.contributor.author | Mönkkönen, Keijo | |
| dc.date.accessioned | 2021-07-14T07:20:55Z | |
| dc.date.available | 2021-07-14T07:20:55Z | |
| dc.date.issued | 2021 | |
| dc.identifier.citation | Ilmavirta, 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.other | CONVID_98908452 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/77127 | |
| dc.description.abstract | If 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.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.publisher | Society for Industrial & Applied Mathematics (SIAM) | |
| dc.relation.ispartofseries | SIAM Journal on Mathematical Analysis | |
| dc.rights | In Copyright | |
| dc.subject.other | inverse problems | |
| dc.subject.other | x-ray tomography | |
| dc.subject.other | vector field tomography | |
| dc.subject.other | normal operator | |
| dc.subject.other | unique continuation | |
| dc.title | X-ray Tomography of One-forms with Partial Data | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202107144312 | |
| 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.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 3002-3015 | |
| dc.relation.issn | 0036-1410 | |
| dc.relation.numberinseries | 3 | |
| dc.relation.volume | 53 | |
| dc.type.version | acceptedVersion | |
| dc.rights.copyright | © 2021, Society for Industrial and Applied Mathematics | |
| dc.rights.accesslevel | openAccess | fi |
| dc.subject.yso | tomografia | |
| dc.subject.yso | integraaliyhtälöt | |
| dc.subject.yso | inversio-ongelmat | |
| dc.subject.yso | funktionaalianalyysi | |
| dc.subject.yso | röntgenkuvaus | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p17798 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p20357 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p27912 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p17780 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p10181 | |
| dc.rights.url | http://rightsstatements.org/page/InC/1.0/?language=en | |
| dc.relation.doi | 10.1137/20M1344779 | |
| dc.type.okm | A1 |
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