| dc.contributor.author | Chung, Francis J. | |
| dc.contributor.author | Ola, Petri | |
| dc.contributor.author | Salo, Mikko | |
| dc.contributor.author | Tzou, Leo | |
| dc.date.accessioned | 2018-01-16T10:10:02Z | |
| dc.date.available | 2019-07-14T21:35:20Z | |
| dc.date.issued | 2018 | |
| dc.identifier.citation | Chung, F. J., Ola, P., Salo, M., & Tzou, L. (2018). Partial data inverse problems for Maxwell equations via Carleman estimates. <i>Annales de l'Institut Henri Poincare (C) Non Linear Analysis</i>, <i>35</i>(3), 605-624. <a href="https://doi.org/10.1016/j.anihpc.2017.06.005" target="_blank">https://doi.org/10.1016/j.anihpc.2017.06.005</a> | |
| dc.identifier.other | CONVID_27121440 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/56747 | |
| dc.description.abstract | In this article we consider an inverse boundary value problem for the time-harmonic Maxwell equations. We show that the electromagnetic material parameters are determined by boundary measurements where part of the boundary data is measured on a possibly very small set. This is an extension of earlier scalar results of Bukhgeim–Uhlmann and Kenig–Sjöstrand–Uhlmann to the Maxwell system. The main contribution is to show that the Carleman estimate approach to scalar partial data inverse problems introduced in those works can be carried over to the Maxwell system. | en |
| dc.language.iso | eng | |
| dc.publisher | Elsevier | |
| dc.relation.ispartofseries | Annales de l'Institut Henri Poincare (C) Non Linear Analysis | |
| dc.subject.other | partial data | |
| dc.subject.other | admissible manifolds | |
| dc.subject.other | Carleman estimates | |
| dc.title | Partial data inverse problems for Maxwell equations via Carleman estimates | |
| dc.type | research article | |
| dc.identifier.urn | URN:NBN:fi:jyu-201801121164 | |
| 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 | Mathematics | en |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
| dc.date.updated | 2018-01-12T10:15:14Z | |
| dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 605-624 | |
| dc.relation.issn | 0294-1449 | |
| dc.relation.numberinseries | 3 | |
| dc.relation.volume | 35 | |
| dc.type.version | acceptedVersion | |
| dc.rights.copyright | © 2017 Elsevier Masson SAS. This is a final draft version of an article whose final and definitive form has been published by Elsevier. Published in this repository with the kind permission of the publisher. | |
| dc.rights.accesslevel | openAccess | fi |
| dc.type.publication | article | |
| dc.relation.grantnumber | 307023 | |
| dc.relation.grantnumber | 307023 | |
| dc.relation.grantnumber | 284715 HY | |
| dc.relation.projectid | info:eu-repo/grantAgreement/EC/FP7/307023/EU//InvProbGeomPDE | |
| dc.subject.yso | Maxwellin yhtälöt | |
| dc.subject.yso | inversio-ongelmat | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p28528 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p27912 | |
| dc.relation.doi | 10.1016/j.anihpc.2017.06.005 | |
| dc.relation.funder | Euroopan komissio | fi |
| dc.relation.funder | Suomen Akatemia | fi |
| dc.relation.funder | European Commission | en |
| dc.relation.funder | Academy of Finland | en |
| jyx.fundingprogram | EU:n 7. puiteohjelma (FP7) | fi |
| jyx.fundingprogram | Huippuyksikkörahoitus, SA | fi |
| jyx.fundingprogram | FP7 (EU's 7th Framework Programme) | en |
| jyx.fundingprogram | Centre of Excellence, AoF | en |
| jyx.fundinginformation | F.C., P.O. and M.S. were partly supported by the Academy of Finland (Centre of Excellence in Inverse Problems Research) (284715), F.C. and M.S. were supported by an ERC Starting Grant (grant agreement no 307023), and M.S. was also supported by CNRS. L.T. was partly supported by the Academy of Finland (decision no 271929), Vetenskapsrådet (decision no 2012-3782), and Australian Research Council Future Fellowship (FT130101346). F.C., M.S. and L.T. would like to acknowledge the hospitality of the Institut Henri Poincaré Program on Inverse Problems in 2015, and F.C. would like to acknowledge the University of Jyväskylä for its hospitality on subsequent visits. | |
| dc.type.okm | A1 | |
