Quantitative Runge Approximation and Inverse Problems

Rüland, Angkana; Salo, Mikko

doi:10.1093/imrn/rnx301

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.other	TUTKAID_76485
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	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.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