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dc.contributor.authorMa, Shiqi
dc.contributor.authorSalo, Mikko
dc.date.accessioned2021-07-14T08:48:10Z
dc.date.available2021-07-14T08:48:10Z
dc.date.issued2021
dc.identifier.citationMa, S., & Salo, M. (2021). Fixed angle inverse scattering in the presence of a Riemannian metric. <i>Journal of Inverse and Ill-posed Problems</i>, <i>Early online</i>. <a href="https://doi.org/10.1515/jiip-2020-0119" target="_blank">https://doi.org/10.1515/jiip-2020-0119</a>
dc.identifier.otherCONVID_98890166
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/77141
dc.description.abstractWe consider a fixed angle inverse scattering problem in the presence of a known Riemannian metric. First, assuming a no caustics condition, we study the direct problem by utilizing the progressing wave expansion. Under a symmetry assumption on the metric, we obtain uniqueness and stability results in the inverse scattering problem for a potential with data generated by two incident waves from opposite directions. Further, similar results are given using one measurement provided the potential also satisfies a symmetry assumption. This work extends the results of [Rakesh and M. Salo, Fixed angle inverse scattering for almost symmetric or controlled perturbations, SIAM J. Math. Anal. 52 2020, 6, 5467–5499] and [Rakesh and M. Salo, The fixed angle scattering problem and wave equation inverse problems with two measurements, Inverse Problems 36 2020, 3, Article ID 035005] from the Euclidean case to certain Riemannian metrics.en
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherWalter de Gruyter GmbH
dc.relation.ispartofseriesJournal of Inverse and Ill-posed Problems
dc.rightsIn Copyright
dc.subject.otherinverse medium problem
dc.subject.otherfixed angle scattering
dc.subject.otherCarleman estimates
dc.subject.otherRiemannian metrics
dc.titleFixed angle inverse scattering in the presence of a Riemannian metric
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-202107144326
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.description.reviewstatuspeerReviewed
dc.relation.issn0928-0219
dc.relation.volumeEarly online
dc.type.versionacceptedVersion
dc.rights.copyright© Walter de Gruyter GmbH, 2021
dc.rights.accesslevelembargoedAccess
dc.relation.grantnumber770924
dc.relation.grantnumber770924
dc.relation.grantnumber284715 HY
dc.relation.grantnumber309963
dc.relation.projectidinfo:eu-repo/grantAgreement/EC/H2020/770924/EU//IPTheoryUnified
dc.subject.ysoinversio-ongelmat
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p27912
dc.rights.urlhttp://rightsstatements.org/page/InC/1.0/?language=en
dc.rights.accessrights
dc.relation.doi10.1515/jiip-2020-0119
dc.relation.funderEuroopan komissiofi
dc.relation.funderSuomen Akatemiafi
dc.relation.funderSuomen Akatemiafi
dc.relation.funderEuropean Commissionen
dc.relation.funderAcademy of Finlanden
dc.relation.funderAcademy of Finlanden
jyx.fundingprogramERC Consolidator Grantfi
jyx.fundingprogramHuippuyksikkörahoitus, SAfi
jyx.fundingprogramAkatemiahanke, SAfi
jyx.fundingprogramERC Consolidator Granten
jyx.fundingprogramCentre of Excellence, AoFen
jyx.fundingprogramAcademy Project, AoFen
jyx.fundinginformationBoth authors were supported by the Academy of Finland (Finnish Centre of Excellence in Inverse Modelling and Imaging, grants 284715 and 309963). M.S. was also supported by ERC under Horizon 2020 (ERC CoG 770924).


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