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dc.contributor.authorRüland, Angkana
dc.contributor.authorSalo, Mikko
dc.date.accessioned2019-11-13T11:28:00Z
dc.date.available2019-11-13T11:28:00Z
dc.date.issued2019
dc.identifier.citationRüland, 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.otherCONVID_27840396
dc.identifier.otherTUTKAID_76485
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/66351
dc.description.abstractIn 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.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherOxford University Press
dc.relation.ispartofseriesInternational Mathematics Research Notices
dc.rightsIn Copyright
dc.subject.otherinversio-ongelmatfi
dc.subject.otherinverse problemsfi
dc.titleQuantitative Runge Approximation and Inverse Problems
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-201911134853
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.contributor.oppiaineMatematiikkafi
dc.contributor.oppiaineMathematicsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.date.updated2019-11-13T07:15:20Z
dc.description.reviewstatuspeerReviewed
dc.format.pagerange6216-6234
dc.relation.issn1073-7928
dc.relation.numberinseries20
dc.relation.volume2019
dc.type.versionacceptedVersion
dc.rights.copyright© 2018 Oxford University Press
dc.rights.accesslevelopenAccessfi
dc.relation.grantnumber284715 HY
dc.relation.grantnumber307023
dc.relation.grantnumber307023
dc.relation.projectidinfo:eu-repo/grantAgreement/EC/FP7/307023/EU//InvProbGeomPDE
dc.subject.ysoinversio-ongelmat
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p27912
dc.rights.urlhttp://rightsstatements.org/page/InC/1.0/?language=en
dc.relation.doi10.1093/imrn/rnx301
dc.relation.funderSuomen Akatemiafi
dc.relation.funderEuroopan komissiofi
dc.relation.funderAcademy of Finlanden
dc.relation.funderEuropean Commissionen
jyx.fundingprogramHuippuyksikkörahoitus, SAfi
jyx.fundingprogramEU:n 7. puiteohjelma (FP7)fi
jyx.fundingprogramCentre of Excellence, AoFen
jyx.fundingprogramFP7 (EU's 7th Framework Programme)en
jyx.fundinginformationA.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).


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