Inverse problems for a fractional conductivity equation
| dc.contributor.author | Covi, Giovanni | |
| dc.date.accessioned | 2020-02-19T12:23:06Z | |
| dc.date.available | 2020-02-19T12:23:06Z | |
| dc.date.issued | 2020 | |
| dc.identifier.citation | Covi, G. (2020). Inverse problems for a fractional conductivity equation. <i>Nonlinear Analysis: Theory, Methods and Applications</i>, <i>193</i>, 111418. <a href="https://doi.org/10.1016/j.na.2019.01.008" target="_blank">https://doi.org/10.1016/j.na.2019.01.008</a> | |
| dc.identifier.other | CONVID_28919629 | |
| dc.identifier.other | TUTKAID_80654 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/67895 | |
| dc.description.abstract | This paper shows global uniqueness in two inverse problems for a fractional conductivity equation: an unknown conductivity in a bounded domain is uniquely determined by measurements of solutions taken in arbitrary open, possibly disjoint subsets of the exterior. Both the cases of infinitely many measurements and a single measurement are addressed. The results are based on a reduction from the fractional conductivity equation to the fractional Schrödinger equation, and as such represent extensions of previous works. Moreover, a simple application is shown in which the fractional conductivity equation is put into relation with a long jump random walk with weights. | en |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.publisher | Pergamon Press | |
| dc.relation.ispartofseries | Nonlinear Analysis: Theory, Methods and Applications | |
| dc.rights | CC BY-NC-ND 4.0 | |
| dc.subject.other | fractional conductivity equation | |
| dc.subject.other | non-local operators | |
| dc.subject.other | calderón problem | |
| dc.title | Inverse problems for a fractional conductivity equation | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202002122058 | |
| 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 | 2020-02-12T16:15:27Z | |
| dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 111418 | |
| dc.relation.issn | 0362-546X | |
| dc.relation.numberinseries | 0 | |
| dc.relation.volume | 193 | |
| dc.type.version | publishedVersion | |
| dc.rights.copyright | ©2019 The Author(s) | |
| 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 | osittaisdifferentiaaliyhtälöt | |
| dc.subject.yso | inversio-ongelmat | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p12392 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p27912 | |
| dc.rights.url | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.relation.doi | 10.1016/j.na.2019.01.008 | |
| 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. The author was partially supported by the European Research Council under Horizon 2020 (ERC CoG 770924). The author wishes to dearly thank professor M. Salo for his precious ideas and helpful discussion in the making of this work. | |
| dc.type.okm | A1 |
Aineistoon kuuluvat tiedostot
Aineisto kuuluu seuraaviin kokoelmiin
Ellei muuten mainita, aineiston lisenssi on CC BY-NC-ND 4.0