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dc.contributor.authorNurminen, Janne
dc.date.accessioned2022-11-02T10:16:31Z
dc.date.available2022-11-02T10:16:31Z
dc.date.issued2023
dc.identifier.citationNurminen, J. (2023). An inverse problem for the minimal surface equation. <i>Nonlinear Analysis : Theory, Methods and Applications</i>, <i>227</i>, Article 113163. <a href="https://doi.org/10.1016/j.na.2022.113163" target="_blank">https://doi.org/10.1016/j.na.2022.113163</a>
dc.identifier.otherCONVID_159387652
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/83773
dc.description.abstractWe use the method of higher order linearization to study an inverse boundary value problem for the minimal surface equation on a Riemannian manifold , where the metric is conformally Euclidean. In particular we show that with the knowledge of Dirichlet-to-Neumann map associated to the minimal surface equation, one can determine the Taylor series of the conformal factor at up to a multiplicative constant. We show this both in the full data case and in some partial data cases.en
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherElsevier
dc.relation.ispartofseriesNonlinear Analysis : Theory, Methods and Applications
dc.rightsCC BY 4.0
dc.subject.otherinverse problem
dc.subject.otherhigher order linearization
dc.subject.otherquasilinear elliptic equation
dc.subject.otherminimal surface equation
dc.titleAn inverse problem for the minimal surface equation
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-202211025078
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.type.coarhttp://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatuspeerReviewed
dc.relation.issn0362-546X
dc.relation.volume227
dc.type.versionpublishedVersion
dc.rights.copyright© 2022 The Author(s). Published by Elsevier Ltd.
dc.rights.accesslevelopenAccessfi
dc.relation.grantnumber284715 HY
dc.subject.ysoyhtälöt
dc.subject.ysoinversio-ongelmat
dc.subject.ysoosittaisdifferentiaaliyhtälöt
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p3553
jyx.subject.urihttp://www.yso.fi/onto/yso/p27912
jyx.subject.urihttp://www.yso.fi/onto/yso/p12392
dc.rights.urlhttps://creativecommons.org/licenses/by/4.0/
dc.relation.doi10.1016/j.na.2022.113163
dc.relation.funderSuomen Akatemiafi
dc.relation.funderResearch Council of Finlanden
jyx.fundingprogramHuippuyksikkörahoitus, SAfi
jyx.fundingprogramCentre of Excellence, AoFen
jyx.fundinginformationThe author was supported by the Finnish Centre of Excellence in Inverse Modelling and Imaging (Academy of Finland grant 284715).
dc.type.okmA1


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