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dc.contributor.authorLassas, Matti
dc.contributor.authorLiimatainen, Tony
dc.contributor.authorSalo, Mikko
dc.date.accessioned2023-03-29T07:21:45Z
dc.date.available2023-03-29T07:21:45Z
dc.date.issued2022
dc.identifier.citationLassas, M., Liimatainen, T., & Salo, M. (2022). The Calderón problem for the conformal Laplacian. <i>Communications in Analysis and Geometry</i>, <i>30</i>(5), 1121-1184. <a href="https://doi.org/10.4310/cag.2022.v30.n5.a6" target="_blank">https://doi.org/10.4310/cag.2022.v30.n5.a6</a>
dc.identifier.otherCONVID_177490574
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/86156
dc.description.abstractWe consider a conformally invariant version of the Calderón problem, where the objective is to determine the conformal class of a Riemannian manifold with boundary from the Dirichlet-to-Neumann map for the conformal Laplacian. The main result states that a locally conformally real-analytic manifold in dimensions can be determined in this way, giving a positive answer to an earlier conjecture [LU02, Conjecture 6.3]. The proof proceeds as in the standard Calderón problem on a real-analytic Riemannian manifold, but new features appear due to the conformal structure. In particular, we introduce a new coordinate system that replaces harmonic coordinates when determining the conformal class in a neighborhood of the boundary.en
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherInternational Press
dc.relation.ispartofseriesCommunications in Analysis and Geometry
dc.rightsIn Copyright
dc.titleThe Calderón problem for the conformal Laplacian
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-202303292296
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.contributor.oppiaineMatematiikkafi
dc.contributor.oppiaineInversio-ongelmien huippuyksikköfi
dc.contributor.oppiaineMathematicsen
dc.contributor.oppiaineCentre of Excellence in Inverse Problemsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.type.coarhttp://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatuspeerReviewed
dc.format.pagerange1121-1184
dc.relation.issn1019-8385
dc.relation.numberinseries5
dc.relation.volume30
dc.type.versionacceptedVersion
dc.rights.copyright© International Press
dc.rights.accesslevelopenAccessfi
dc.subject.ysoinversio-ongelmat
dc.subject.ysoosittaisdifferentiaaliyhtälöt
dc.subject.ysoRiemannin monistot
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p27912
jyx.subject.urihttp://www.yso.fi/onto/yso/p12392
jyx.subject.urihttp://www.yso.fi/onto/yso/p39163
dc.rights.urlhttp://rightsstatements.org/page/InC/1.0/?language=en
dc.relation.doi10.4310/cag.2022.v30.n5.a6
dc.type.okmA1


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