Quantitative Runge Approximation and Inverse Problems
| dc.contributor.author | Rüland, Angkana | |
| dc.contributor.author | Salo, Mikko | |
| dc.date.accessioned | 2019-11-13T11:28:00Z | |
| dc.date.available | 2019-11-13T11:28:00Z | |
| dc.date.issued | 2019 | |
| dc.identifier.citation | Rüland, A., & Salo, M. (2019). Quantitative Runge Approximation and Inverse Problems. <i>International Mathematics Research Notices</i>, <i>2019</i>(20), 6216-6234. <a href="https://doi.org/10.1093/imrn/rnx301" target="_blank">https://doi.org/10.1093/imrn/rnx301</a> | |
| dc.identifier.other | CONVID_27840396 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/66351 | |
| dc.description.abstract | In this short note, we provide a quantitative version of the classical Runge approximation property for second-order elliptic operators. This relies on quantitative unique continuation results and duality arguments. We show that these estimates are essentially optimal. As a model application, we provide a new proof of the result from [8], [2] on stability for the Calderón problem with local data. | en |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.publisher | Oxford University Press | |
| dc.relation.ispartofseries | International Mathematics Research Notices | |
| dc.rights | In Copyright | |
| dc.subject.other | inversio-ongelmat | fi |
| dc.subject.other | inverse problems | fi |
| dc.title | Quantitative Runge Approximation and Inverse Problems | |
| dc.type | research article | |
| dc.identifier.urn | URN:NBN:fi:jyu-201911134853 | |
| 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 | 2019-11-13T07:15:20Z | |
| dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 6216-6234 | |
| dc.relation.issn | 1073-7928 | |
| dc.relation.numberinseries | 20 | |
| dc.relation.volume | 2019 | |
| dc.type.version | acceptedVersion | |
| dc.rights.copyright | © 2018 Oxford University Press | |
| dc.rights.accesslevel | openAccess | fi |
| dc.type.publication | article | |
| dc.relation.grantnumber | 284715 HY | |
| dc.relation.grantnumber | 307023 | |
| dc.relation.grantnumber | 307023 | |
| dc.relation.projectid | info:eu-repo/grantAgreement/EC/FP7/307023/EU//InvProbGeomPDE | |
| dc.subject.yso | inversio-ongelmat | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p27912 | |
| dc.rights.url | http://rightsstatements.org/page/InC/1.0/?language=en | |
| dc.relation.doi | 10.1093/imrn/rnx301 | |
| dc.relation.funder | Suomen Akatemia | fi |
| dc.relation.funder | Euroopan komissio | fi |
| dc.relation.funder | Academy of Finland | en |
| dc.relation.funder | European Commission | en |
| jyx.fundingprogram | Huippuyksikkörahoitus, SA | fi |
| jyx.fundingprogram | EU:n 7. puiteohjelma (FP7) | fi |
| jyx.fundingprogram | Centre of Excellence, AoF | en |
| jyx.fundingprogram | FP7 (EU's 7th Framework Programme) | en |
| jyx.fundinginformation | A.R. gratefully acknowledges a Junior Research Fellowship at Christ Church. M.S. was supported by the Academy of Finland (Finnish Centre of Excellence in Inverse Problems Research, grant number 284715) and an ERC Starting Grant (grant number 307023). | |
| dc.type.okm | A1 |
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