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dc.contributor.authorGuillarmou, Colin
dc.contributor.authorSalo, Mikko
dc.contributor.authorTzou, Leo
dc.date.accessioned2019-05-28T04:25:04Z
dc.date.available2020-05-21T21:35:15Z
dc.date.issued2019
dc.identifier.citationGuillarmou, C., Salo, M., & Tzou, L. (2019). The Linearized Calderón Problem on Complex Manifolds. <i>Acta Mathematica Sinica</i>, <i>35</i>(6), 1043-1056. <a href="https://doi.org/10.1007/s10114-019-8129-7" target="_blank">https://doi.org/10.1007/s10114-019-8129-7</a>
dc.identifier.otherCONVID_30726449
dc.identifier.otherTUTKAID_81490
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/64239
dc.description.abstractIn this note we show that on any compact subdomain of a K¨ahler manifold that admits sufficiently many global holomorphic functions, the products of harmonic functions form a complete set. This gives a positive answer to the linearized anisotropic Calder´on problem on a class of complex manifolds that includes compact subdomains of Stein manifolds and sufficiently small subdomains of K¨ahler manifolds. Some of these manifolds do not admit limiting Carleman weights, and thus cannot be treated by standard methods for the Calder´on problem in higher dimensions. The argument is based on constructing Morse holomorphic functions with approximately prescribed critical points. This extends earlier results from the case of Riemann surfaces to higher dimensional complex manifolds.en
dc.format.mimetypeapplication/pdf
dc.languageeng
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofseriesActa Mathematica Sinica
dc.rightsIn Copyright
dc.subject.otherinverse problem
dc.subject.otherCalderón problem
dc.subject.othercomplex manifold
dc.titleThe Linearized Calderón Problem on Complex Manifolds
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-201905272823
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.updated2019-05-27T09:15:25Z
dc.type.coarhttp://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatuspeerReviewed
dc.format.pagerange1043-1056
dc.relation.issn1439-8516
dc.relation.numberinseries6
dc.relation.volume35
dc.type.versionacceptedVersion
dc.rights.copyright© Springer-Verlag GmbH Germany & The Editorial Office of AMS 2019.
dc.rights.accesslevelopenAccessfi
dc.relation.grantnumber309963
dc.relation.grantnumber284715 HY
dc.relation.grantnumber307023
dc.relation.grantnumber307023
dc.relation.grantnumber770924
dc.relation.grantnumber770924
dc.relation.projectidinfo:eu-repo/grantAgreement/EC/FP7/307023/EU//InvProbGeomPDE
dc.relation.projectidinfo:eu-repo/grantAgreement/EC/H2020/770924/EU//IPTheoryUnified
dc.subject.ysoosittaisdifferentiaaliyhtälöt
dc.subject.ysomonistot
dc.subject.ysoinversio-ongelmat
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p12392
jyx.subject.urihttp://www.yso.fi/onto/yso/p28181
jyx.subject.urihttp://www.yso.fi/onto/yso/p27912
dc.rights.urlhttp://rightsstatements.org/page/InC/1.0/?language=en
dc.relation.doi10.1007/s10114-019-8129-7
dc.relation.funderSuomen Akatemiafi
dc.relation.funderSuomen Akatemiafi
dc.relation.funderEuroopan komissiofi
dc.relation.funderEuroopan komissiofi
dc.relation.funderAcademy of Finlanden
dc.relation.funderAcademy of Finlanden
dc.relation.funderEuropean Commissionen
dc.relation.funderEuropean Commissionen
jyx.fundingprogramAkatemiahanke, SAfi
jyx.fundingprogramHuippuyksikkörahoitus, SAfi
jyx.fundingprogramEU:n 7. puiteohjelma (FP7)fi
jyx.fundingprogramERC Consolidator Grantfi
jyx.fundingprogramAcademy Project, AoFen
jyx.fundingprogramCentre of Excellence, AoFen
jyx.fundingprogramFP7 (EU's 7th Framework Programme)en
jyx.fundingprogramERC Consolidator Granten
jyx.fundinginformationThe first author is partially supported by ERC Consolidator Grant IPFLOW (Grant No. 725967), the second author was supported by the Academy of Finland (Finnish Centre of Excellence in Inverse Problems Research (Grant Nos. 284715 and 309963)) and by the European Research Council under FP7/2007–2013 ERC StG (Grant No. 307023) and Horizon 2020 ERC CoG (Grant No. 770924), and the third author is partially supported by Australian Research Council (Grant Nos. DP190103302 and DP190103451)
dc.type.okmA1


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