The linearized Calderón problem for polyharmonic operators
| dc.contributor.author | Sahoo, Suman Kumar | |
| dc.contributor.author | Salo, Mikko | |
| dc.date.accessioned | 2023-03-21T12:01:41Z | |
| dc.date.available | 2023-03-21T12:01:41Z | |
| dc.date.issued | 2023 | |
| dc.identifier.citation | Sahoo, S. K., & Salo, M. (2023). The linearized Calderón problem for polyharmonic operators. <i>Journal of Differential Equations</i>, <i>360</i>, 407-451. <a href="https://doi.org/10.1016/j.jde.2023.03.017" target="_blank">https://doi.org/10.1016/j.jde.2023.03.017</a> | |
| dc.identifier.other | CONVID_177468938 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/86061 | |
| dc.description.abstract | In this article we consider a linearized Calderón problem for polyharmonic operators of order 2m (m ≥ 2) in the spirit of Calderón’s original work [7]. We give a uniqueness result for determining coefficients of order ≤ 2m − 1 up to gauge, based on inverting momentum ray transforms. | en |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.publisher | Elsevier BV | |
| dc.relation.ispartofseries | Journal of Differential Equations | |
| dc.rights | CC BY 4.0 | |
| dc.subject.other | Calderón problem | |
| dc.subject.other | perturbed polyharmonic operator | |
| dc.subject.other | anisotropic perturbation | |
| dc.subject.other | tensor tomography | |
| dc.subject.other | momentum ray transform | |
| dc.title | The linearized Calderón problem for polyharmonic operators | |
| dc.type | research article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202303212211 | |
| dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
| dc.contributor.laitos | Department of Mathematics and Statistics | en |
| dc.contributor.oppiaine | Inversio-ongelmien huippuyksikkö | fi |
| dc.contributor.oppiaine | Matematiikka | fi |
| dc.contributor.oppiaine | Centre of Excellence in Inverse Problems | en |
| dc.contributor.oppiaine | Mathematics | 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 | 407-451 | |
| dc.relation.issn | 0022-0396 | |
| dc.relation.volume | 360 | |
| dc.type.version | publishedVersion | |
| dc.rights.copyright | © 2023 The Author(s). Published by Elsevier | |
| dc.rights.accesslevel | openAccess | fi |
| dc.type.publication | article | |
| dc.relation.grantnumber | 284715 HY | |
| dc.relation.grantnumber | 770924 | |
| dc.relation.grantnumber | 770924 | |
| dc.relation.projectid | info:eu-repo/grantAgreement/EC/H2020/770924/EU//IPTheoryUnified | |
| dc.subject.yso | osittaisdifferentiaaliyhtälöt | |
| dc.subject.yso | inversio-ongelmat | |
| dc.subject.yso | potentiaaliteoria | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p12392 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p27912 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p18911 | |
| dc.rights.url | https://creativecommons.org/licenses/by/4.0/ | |
| dc.relation.doi | 10.1016/j.jde.2023.03.017 | |
| dc.relation.funder | Research Council of Finland | en |
| dc.relation.funder | European Commission | en |
| dc.relation.funder | Suomen Akatemia | fi |
| dc.relation.funder | Euroopan komissio | fi |
| jyx.fundingprogram | Centre of Excellence, AoF | en |
| jyx.fundingprogram | ERC Consolidator Grant | en |
| jyx.fundingprogram | Huippuyksikkörahoitus, SA | fi |
| jyx.fundingprogram | ERC Consolidator Grant | fi |
| jyx.fundinginformation | Both authors were partly supported by the Academy of Finland (Centre of Excellence in Inverse Modelling and Imaging, grant 284715) and by the European Research Council under Horizon 2020 (ERC CoG 770924). | |
| dc.type.okm | A1 |
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