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dc.contributor.authorLiimatainen, Tony
dc.contributor.authorLin, Yi-Hsuan
dc.contributor.authorSalo, Mikko
dc.contributor.authorTyni, Teemu
dc.date.accessioned2023-02-02T06:04:51Z
dc.date.available2023-02-02T06:04:51Z
dc.date.issued2022
dc.identifier.citationLiimatainen, T., Lin, Y.-H., Salo, M., & Tyni, T. (2022). Inverse problems for elliptic equations with fractional power type nonlinearities. <i>Journal of Differential Equations</i>, <i>306</i>, 189-219. <a href="https://doi.org/10.1016/j.jde.2021.10.015" target="_blank">https://doi.org/10.1016/j.jde.2021.10.015</a>
dc.identifier.otherCONVID_101789930
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/85284
dc.description.abstractWe study inverse problems for semilinear elliptic equations with fractional power type nonlinearities. Our arguments are based on the higher order linearization method, which helps us to solve inverse problems for certain nonlinear equations in cases where the solution for a corresponding linear equation is not known. By using a fractional order adaptation of this method, we show that the results of [24], [23] remain valid for general power type nonlinearities.en
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherElsevier
dc.relation.ispartofseriesJournal of Differential Equations
dc.rightsIn Copyright
dc.subject.otherInverse boundary value problem
dc.subject.otherCalderón problem
dc.subject.otherPartial data
dc.subject.otherSemilinear elliptic equations
dc.subject.otherHigher order linearization
dc.subject.otherTransversally anisotropic manifold
dc.titleInverse problems for elliptic equations with fractional power type nonlinearities
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-202302021567
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.pagerange189-219
dc.relation.issn0022-0396
dc.relation.volume306
dc.type.versionacceptedVersion
dc.rights.copyright© 2022 Elsevier
dc.rights.accesslevelopenAccessfi
dc.relation.grantnumber284715 HY
dc.relation.grantnumber309963
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.doi10.1016/j.jde.2021.10.015
dc.relation.funderResearch Council of Finlanden
dc.relation.funderResearch Council of Finlanden
dc.relation.funderSuomen Akatemiafi
dc.relation.funderSuomen Akatemiafi
jyx.fundingprogramCentre of Excellence, AoFen
jyx.fundingprogramAcademy Project, AoFen
jyx.fundingprogramHuippuyksikkörahoitus, SAfi
jyx.fundingprogramAkatemiahanke, SAfi
jyx.fundinginformationT.L. and M.S. are supported by the Finnish Centre of Excellence in Inverse Modelling and Imaging, Academy of Finland grant 284715, and T.T. by grant 312119. M.S. was also supported by the Academy of Finland (grant 309963) and by the European Research Council under Horizon 2020 (ERC CoG 770924). Y.-H.L. is supported by the Ministry of Science and Technology, Taiwan, under the Columbus Program: MOST-109-2636-M-009-006, MOST-110-2636-M-009- 007.
dc.type.okmA1


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