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dc.contributor.authorSalo, Mikko
dc.contributor.authorTzou, Leo
dc.date.accessioned2023-03-29T07:07:14Z
dc.date.available2023-03-29T07:07:14Z
dc.date.issued2023
dc.identifier.citationSalo, M., & Tzou, L. (2023). Inverse problems for semilinear elliptic PDE with measurements at a single point. <i>Proceedings of the American Mathematical Society</i>, <i>151</i>(5), 2023-2030. <a href="https://doi.org/10.1090/proc/16255" target="_blank">https://doi.org/10.1090/proc/16255</a>
dc.identifier.otherCONVID_177819392
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/86155
dc.description.abstractWe consider the inverse problem of determining a potential in a semilinear elliptic equation from the knowledge of the Dirichlet-to-Neumann map. For bounded Euclidean domains we prove that the potential is uniquely determined by the Dirichlet-to-Neumann map measured at a single boundary point, or integrated against a fixed measure. This result is valid even when the Dirichlet data is only given on a small subset of the boundary. We also give related uniqueness results on Riemannian manifolds.en
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherAmerican Mathematical Society (AMS)
dc.relation.ispartofseriesProceedings of the American Mathematical Society
dc.rightsIn Copyright
dc.titleInverse problems for semilinear elliptic PDE with measurements at a single point
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-202303292295
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.contributor.oppiaineInversio-ongelmien huippuyksikköfi
dc.contributor.oppiaineMatematiikkafi
dc.contributor.oppiaineCentre of Excellence in Inverse Problemsen
dc.contributor.oppiaineMathematicsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.type.coarhttp://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatuspeerReviewed
dc.format.pagerange2023-2030
dc.relation.issn0002-9939
dc.relation.numberinseries5
dc.relation.volume151
dc.type.versionacceptedVersion
dc.rights.copyright©2023 American Mathematical Society
dc.rights.accesslevelopenAccessfi
dc.relation.grantnumber284715 HY
dc.relation.grantnumber770924
dc.relation.grantnumber770924
dc.relation.projectidinfo:eu-repo/grantAgreement/EC/H2020/770924/EU//IPTheoryUnified
dc.subject.ysoinversio-ongelmat
dc.subject.ysoosittaisdifferentiaaliyhtälöt
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p27912
jyx.subject.urihttp://www.yso.fi/onto/yso/p12392
dc.rights.urlhttp://rightsstatements.org/page/InC/1.0/?language=en
dc.relation.doi10.1090/proc/16255
dc.relation.funderResearch Council of Finlanden
dc.relation.funderEuropean Commissionen
dc.relation.funderSuomen Akatemiafi
dc.relation.funderEuroopan komissiofi
jyx.fundingprogramCentre of Excellence, AoFen
jyx.fundingprogramERC Consolidator Granten
jyx.fundingprogramHuippuyksikkörahoitus, SAfi
jyx.fundingprogramERC Consolidator Grantfi
jyx.fundinginformationThe first author was partly supported by the Academy of Finland (Centre of Excellence in Inverse Modelling and Imaging, grant 284715) and by the European Research Council under Horizon 2020 (ERC CoG 770924). The second author was partly supported by Australian Research Council Discovery Projects DP190103451 and DP190103302.
dc.type.okmA1


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