Uniqueness and reconstruction for the fractional Calderón problem with a single measurement
| dc.contributor.author | Ghosh, Tuhin | |
| dc.contributor.author | Rüland, Angkana | |
| dc.contributor.author | Salo, Mikko | |
| dc.contributor.author | Uhlmann, Gunther | |
| dc.date.accessioned | 2020-04-15T08:59:19Z | |
| dc.date.available | 2020-04-15T08:59:19Z | |
| dc.date.issued | 2020 | |
| dc.identifier.citation | Ghosh, T., Rüland, A., Salo, M., & Uhlmann, G. (2020). Uniqueness and reconstruction for the fractional Calderón problem with a single measurement. <i>Journal of Functional Analysis</i>, <i>279</i>, 1. <a href="https://doi.org/10.1016/j.jfa.2020.108505" target="_blank">https://doi.org/10.1016/j.jfa.2020.108505</a> | |
| dc.identifier.other | CONVID_34603700 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/68537 | |
| dc.description.abstract | We show global uniqueness in the fractional Calderón problem with a single measurement and with data on arbitrary, possibly disjoint subsets of the exterior. The previous work [10] considered the case of infinitely many measurements. The method is again based on the strong uniqueness properties for the fractional equation, this time combined with a unique continuation principle from sets of measure zero. We also give a constructive procedure for determining an unknown potential from a single exterior measurement, based on constructive versions of the unique continuation result that involve different regularization schemes. | en |
| dc.format.mimetype | application/pdf | |
| dc.language | eng | |
| dc.language.iso | eng | |
| dc.publisher | Academic Press | |
| dc.relation.ispartofseries | Journal of Functional Analysis | |
| dc.rights | CC BY-NC-ND 4.0 | |
| dc.subject.other | Calderón problem | |
| dc.subject.other | functional analysis | |
| dc.title | Uniqueness and reconstruction for the fractional Calderón problem with a single measurement | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202004152759 | |
| 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 | 1 | |
| dc.relation.issn | 0022-1236 | |
| dc.relation.volume | 279 | |
| dc.type.version | acceptedVersion | |
| dc.rights.copyright | © 2020 Elsevier Inc | |
| dc.rights.accesslevel | openAccess | fi |
| dc.relation.grantnumber | 309963 | |
| dc.relation.grantnumber | 307023 | |
| dc.relation.grantnumber | 307023 | |
| dc.relation.grantnumber | 312121 | |
| dc.relation.grantnumber | 770924 | |
| dc.relation.grantnumber | 770924 | |
| dc.relation.projectid | info:eu-repo/grantAgreement/EC/FP7/307023/EU//InvProbGeomPDE | |
| dc.relation.projectid | info:eu-repo/grantAgreement/EC/H2020/770924/EU//IPTheoryUnified | |
| dc.subject.yso | funktionaalianalyysi | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p17780 | |
| dc.rights.url | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.relation.doi | 10.1016/j.jfa.2020.108505 | |
| dc.relation.funder | Research Council of Finland | en |
| dc.relation.funder | European Commission | en |
| 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 |
| dc.relation.funder | Suomen Akatemia | fi |
| dc.relation.funder | Euroopan komissio | fi |
| jyx.fundingprogram | Academy Project, AoF | en |
| jyx.fundingprogram | FP7 (EU's 7th Framework Programme) | en |
| jyx.fundingprogram | Centre of Excellence, AoF | en |
| jyx.fundingprogram | ERC Consolidator Grant | en |
| jyx.fundingprogram | Akatemiahanke, SA | fi |
| jyx.fundingprogram | EU:n 7. puiteohjelma (FP7) | fi |
| jyx.fundingprogram | Huippuyksikkörahoitus, SA | fi |
| jyx.fundingprogram | ERC Consolidator Grant | fi |
| jyx.fundinginformation | M.S. was supported by the Academy of Finland (Centre of Excellence in Inverse Modelling and Imaging, grant numbers 312121 and 309963) and by the European Research Council under FP7/2007-2013 (ERC StG 307023) and Horizon 2020 (ERC CoG 770924). G.U. was partly supported by NSF and a Si-Yuan Professorship at IAS, HKUST. | |
| dc.type.okm | A1 |
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