The anisotropic Calderón problem at large fixed frequency on manifolds with invertible ray transform
| dc.contributor.author | Ma, Shiqi | |
| dc.contributor.author | Sahoo, Suman Kumar | |
| dc.contributor.author | Salo, Mikko | |
| dc.date.accessioned | 2024-10-21T09:29:50Z | |
| dc.date.available | 2024-10-21T09:29:50Z | |
| dc.date.issued | 2024 | |
| dc.identifier.citation | Ma, S., Sahoo, S. K., & Salo, M. (2024). The anisotropic Calderón problem at large fixed frequency on manifolds with invertible ray transform. <i>Journal of the London Mathematical Society</i>, <i>110</i>(4), Article e13006. <a href="https://doi.org/10.1112/jlms.13006" target="_blank">https://doi.org/10.1112/jlms.13006</a> | |
| dc.identifier.other | CONVID_243345217 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/97556 | |
| dc.description.abstract | We consider the inverse problem of recovering a potential from the Dirichlet to Neumann map at a large fixed frequency on certain Riemannian manifolds. We extend the earlier result of Uhlmann and Wang [arXiv:2104.03477] to the case of simple manifolds, and more generally to manifolds where the geodesic ray transform is stably invertible. The argument involves an invariantly formulated construction of Gaussian beam quasimodes with uniform bounds for the underlying constants. | en |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.publisher | Wiley | |
| dc.relation.ispartofseries | Journal of the London Mathematical Society | |
| dc.rights | CC BY 4.0 | |
| dc.title | The anisotropic Calderón problem at large fixed frequency on manifolds with invertible ray transform | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202410216418 | |
| dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
| dc.contributor.laitos | Department of Mathematics and Statistics | 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.relation.issn | 0024-6107 | |
| dc.relation.numberinseries | 4 | |
| dc.relation.volume | 110 | |
| dc.type.version | publishedVersion | |
| dc.rights.copyright | © 2024 The Author(s). Journal of the London Mathematical Society is copyright © London Mathematical Society. | |
| dc.rights.accesslevel | openAccess | fi |
| 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 | inversio-ongelmat | |
| dc.subject.yso | Riemannin monistot | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p27912 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p39163 | |
| dc.rights.url | https://creativecommons.org/licenses/by/4.0/ | |
| dc.relation.doi | 10.1112/jlms.13006 | |
| 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 | All the 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). The research of S. Ma is partially supported by the NSF of China under the grant no. 12301540. | |
| dc.type.okm | A1 |
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