dc.contributor.author | Lassas, Matti | |
dc.contributor.author | Liimatainen, Tony | |
dc.contributor.author | Salo, Mikko | |
dc.date.accessioned | 2020-11-19T08:33:17Z | |
dc.date.available | 2020-11-19T08:33:17Z | |
dc.date.issued | 2020 | |
dc.identifier.citation | Lassas, M., Liimatainen, T., & Salo, M. (2020). The Poisson embedding approach to the Calderón problem. <i>Mathematische Annalen</i>, <i>377</i>(1-2), 19-67. <a href="https://doi.org/10.1007/s00208-019-01818-3" target="_blank">https://doi.org/10.1007/s00208-019-01818-3</a> | |
dc.identifier.other | CONVID_28964225 | |
dc.identifier.other | TUTKAID_80918 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/72680 | |
dc.description.abstract | We introduce a new approach to the anisotropic Calderón problem, based on a map called Poisson embedding that identifies the points of a Riemannian manifold with distributions on its boundary. We give a new uniqueness result for a large class of Calderón type inverse problems for quasilinear equations in the real analytic case. The approach also leads to a new proof of the result of Lassas et al. (Annales de l’ ENS 34(5):771–787, 2001) solving the Calderón problem on real analytic Riemannian manifolds. The proof uses the Poisson embedding to determine the harmonic functions in the manifold up to a harmonic morphism. The method also involves various Runge approximation results for linear elliptic equations. | en |
dc.format.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.publisher | Springer | |
dc.relation.ispartofseries | Mathematische Annalen | |
dc.rights | CC BY 4.0 | |
dc.subject.other | Calderón problem | |
dc.subject.other | Poisson embedding | |
dc.title | The Poisson embedding approach to the Calderón problem | |
dc.type | article | |
dc.identifier.urn | URN:NBN:fi:jyu-202011186682 | |
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 | Inversio-ongelmien huippuyksikkö | fi |
dc.contributor.oppiaine | Mathematics | en |
dc.contributor.oppiaine | Centre of Excellence in Inverse Problems | en |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
dc.date.updated | 2020-11-18T10:15:06Z | |
dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
dc.description.reviewstatus | peerReviewed | |
dc.format.pagerange | 19-67 | |
dc.relation.issn | 0025-5831 | |
dc.relation.numberinseries | 1-2 | |
dc.relation.volume | 377 | |
dc.type.version | publishedVersion | |
dc.rights.copyright | © The Author(s) 2019 | |
dc.rights.accesslevel | openAccess | fi |
dc.relation.grantnumber | 284715 HY | |
dc.relation.grantnumber | 307023 | |
dc.relation.grantnumber | 307023 | |
dc.relation.grantnumber | 309963 | |
dc.relation.grantnumber | 770924 | |
dc.relation.grantnumber | 770924 | |
dc.relation.projectid | info:eu-repo/grantAgreement/EC/FP7/307023/EU//InvProbGeomPDE | |
dc.relation.projectid | info:eu-repo/grantAgreement/EC/H2020/770924/EU//IPTheoryUnified | |
dc.subject.yso | inversio-ongelmat | |
dc.subject.yso | osittaisdifferentiaaliyhtälöt | |
dc.format.content | fulltext | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p27912 | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p12392 | |
dc.rights.url | https://creativecommons.org/licenses/by/4.0/ | |
dc.relation.doi | 10.1007/s00208-019-01818-3 | |
dc.relation.funder | Research Council of Finland | en |
dc.relation.funder | European Commission | en |
dc.relation.funder | Research Council of Finland | en |
dc.relation.funder | European Commission | en |
dc.relation.funder | Suomen Akatemia | fi |
dc.relation.funder | Euroopan komissio | fi |
dc.relation.funder | Suomen Akatemia | fi |
dc.relation.funder | Euroopan komissio | fi |
jyx.fundingprogram | Centre of Excellence, AoF | en |
jyx.fundingprogram | FP7 (EU's 7th Framework Programme) | en |
jyx.fundingprogram | Academy Project, AoF | en |
jyx.fundingprogram | ERC Consolidator Grant | en |
jyx.fundingprogram | Huippuyksikkörahoitus, SA | fi |
jyx.fundingprogram | EU:n 7. puiteohjelma (FP7) | fi |
jyx.fundingprogram | Akatemiahanke, SA | fi |
jyx.fundingprogram | ERC Consolidator Grant | fi |
jyx.fundinginformation | Open access funding provided by University of Jyväskylä (JYU). M.L., T.L. and M.S. were supported by the Academy of Finland (Centre of Excellence in Inverse Modelling and Imaging, grant numbers 284715 and 309963). M.S. was also partly supported by the European Research Council under FP7/2007-2013 (ERC StG 307023) and Horizon 2020 (ERC CoG 770924). We would like to thank an anonymous referee for valuable comments. | |
dc.type.okm | A1 | |