Stability estimates for the magnetic Schrödinger operator with partial measurements
| dc.contributor.author | Potenciano-Machado, Leyter | |
| dc.contributor.author | Ruiz, Alberto | |
| dc.contributor.author | Tzou, Leo | |
| dc.date.accessioned | 2022-06-10T12:31:53Z | |
| dc.date.available | 2022-06-10T12:31:53Z | |
| dc.date.issued | 2022 | |
| dc.identifier.citation | Potenciano-Machado, L., Ruiz, A., & Tzou, L. (2022). Stability estimates for the magnetic Schrödinger operator with partial measurements. <i>Journal of Differential Equations</i>, <i>321</i>, 475-521. <a href="https://doi.org/10.1016/j.jde.2022.02.051" target="_blank">https://doi.org/10.1016/j.jde.2022.02.051</a> | |
| dc.identifier.other | CONVID_146488500 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/81648 | |
| dc.description.abstract | In this article, we study stability estimates when recovering magnetic fields and electric potentials in a simply connected open subset in Rn with n≥3, from measurements on open subsets of its boundary. This inverse problem is associated with a magnetic Schrödinger operator. Our estimates are quantitative versions of the uniqueness results obtained by D. Dos Santos Ferreira, C.E. Kenig, J. Sjöstrand and G. Uhlmann in [13]. The moduli of continuity are of logarithmic type. | 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.title | Stability estimates for the magnetic Schrödinger operator with partial measurements | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202206103256 | |
| 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 | 475-521 | |
| dc.relation.issn | 0022-0396 | |
| dc.relation.volume | 321 | |
| dc.type.version | publishedVersion | |
| dc.rights.copyright | © 2022 the Authors | |
| dc.rights.accesslevel | openAccess | fi |
| dc.subject.yso | inversio-ongelmat | |
| dc.subject.yso | magneettikentät | |
| dc.subject.yso | osittaisdifferentiaaliyhtälöt | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p27912 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p19032 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p12392 | |
| dc.rights.url | https://creativecommons.org/licenses/by/4.0/ | |
| dc.relation.doi | 10.1016/j.jde.2022.02.051 | |
| dc.type.okm | A1 |
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