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dc.contributor.authorCovi, Giovanni
dc.contributor.authorMönkkönen, Keijo
dc.contributor.authorRailo, Jesse
dc.contributor.authorUhlmann, Gunther
dc.date.accessioned2022-02-24T07:48:26Z
dc.date.available2022-02-24T07:48:26Z
dc.date.issued2022
dc.identifier.citationCovi, G., Mönkkönen, K., Railo, J., & Uhlmann, G. (2022). The higher order fractional Calderón problem for linear local operators : Uniqueness. <i>Advances in Mathematics</i>, <i>399</i>, Article 108246. <a href="https://doi.org/10.1016/j.aim.2022.108246" target="_blank">https://doi.org/10.1016/j.aim.2022.108246</a>
dc.identifier.otherCONVID_104350313
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/79921
dc.description.abstractWe study an inverse problem for the fractional Schrödinger equation (FSE) with a local perturbation by a linear partial differential operator (PDO) of order smaller than the one of the fractional Laplacian. We show that one can uniquely recover the coefficients of the PDO from the exterior Dirichlet-to-Neumann (DN) map associated to the perturbed FSE. This is proved for two classes of coefficients: coefficients which belong to certain spaces of Sobolev multipliers and coefficients which belong to fractional Sobolev spaces with bounded derivatives. Our study generalizes recent results for the zeroth and first order perturbations to higher order perturbations.en
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherElsevier
dc.relation.ispartofseriesAdvances in Mathematics
dc.rightsCC BY-NC-ND 4.0
dc.subject.otherFractional Calderón problem
dc.subject.otherFractional Schrödinger equation
dc.subject.otherSobolev multipliers
dc.titleThe higher order fractional Calderón problem for linear local operators : Uniqueness
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-202202241654
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.description.reviewstatuspeerReviewed
dc.relation.issn0001-8708
dc.relation.volume399
dc.type.versionacceptedVersion
dc.rights.copyright© 2022 Published by Elsevier Inc.
dc.rights.accesslevelopenAccessfi
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.urlhttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.accessrights
dc.relation.doi10.1016/j.aim.2022.108246


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