An inverse problem for the fractional Schrödinger equation in a magnetic field
| dc.contributor.author | Covi, Giovanni | |
| dc.date.accessioned | 2020-01-23T06:17:14Z | |
| dc.date.available | 2020-01-23T06:17:14Z | |
| dc.date.issued | 2020 | |
| dc.identifier.citation | Covi, G. (2020). An inverse problem for the fractional Schrödinger equation in a magnetic field. <i>Inverse Problems</i>, <i>36</i>(4), Article 045004. <a href="https://doi.org/10.1088/1361-6420/ab661a" target="_blank">https://doi.org/10.1088/1361-6420/ab661a</a> | |
| dc.identifier.other | CONVID_33920490 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/67491 | |
| dc.description.abstract | This paper shows global uniqueness in an inverse problem for a fractional magnetic Schrödinger equation (FMSE): an unknown electromagnetic field in a bounded domain is uniquely determined up to a natural gauge by infinitely many measurements of solutions taken in arbitrary open subsets of the exterior. The proof is based on Alessandrini's identity and the Runge approximation property, thus generalizing some previous works on the fractional Laplacian. Moreover, we show with a simple model that the FMSE relates to a long jump random walk with weights. | en |
| dc.format.mimetype | application/pdf | |
| dc.language | eng | |
| dc.language.iso | eng | |
| dc.publisher | Institute of Physics | |
| dc.relation.ispartofseries | Inverse Problems | |
| dc.rights | CC BY-NC-ND 3.0 | |
| dc.subject.other | Schrödinger equation | |
| dc.title | An inverse problem for the fractional Schrödinger equation in a magnetic field | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202001231690 | |
| 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.relation.issn | 0266-5611 | |
| dc.relation.numberinseries | 4 | |
| dc.relation.volume | 36 | |
| dc.type.version | acceptedVersion | |
| dc.rights.copyright | © 2019 IOP Publishing Ltd | |
| dc.rights.accesslevel | openAccess | fi |
| 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 | magneettikentät | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p27912 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p19032 | |
| dc.rights.url | https://creativecommons.org/licenses/by-nc-nd/3.0/ | |
| dc.relation.doi | 10.1088/1361-6420/ab661a | |
| dc.relation.funder | European Commission | en |
| dc.relation.funder | Euroopan komissio | fi |
| jyx.fundingprogram | ERC Consolidator Grant | en |
| jyx.fundingprogram | ERC Consolidator Grant | fi |
| jyx.fundinginformation | This work is part of the PhD research of the author, who was partially supported by the European Research Council under Horizon 2020 (ERC CoG 770924). The author wishes to express his sincere gratitude to Professor Mikko Salo for his reliable guidance and constructive discussion in the making of this work. | |
| dc.type.okm | A1 |
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