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dc.contributor.authorMeroño, Cristóbal J,
dc.contributor.authorPotenciano-Machado, Leyter
dc.contributor.authorSalo, Mikko
dc.date.accessioned2019-08-01T05:03:28Z
dc.date.available2019-08-01T05:03:28Z
dc.date.issued2020
dc.identifier.citationMeroño, C. J., Potenciano-Machado, L., & Salo, M. (2020). Resolvent estimates for the magnetic Schrödinger operator in dimensions ≥2. <i>Revista Matemática Complutense</i>, <i>33</i>(2), 619-641. <a href="https://doi.org/10.1007/s13163-019-00316-z" target="_blank">https://doi.org/10.1007/s13163-019-00316-z</a>
dc.identifier.otherCONVID_32174433
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/65176
dc.description.abstractIt is well known that the resolvent of the free Schrödinger operator on weighted L2 spaces has norm decaying like λ−12 at energy λ . There are several works proving analogous high frequency estimates for magnetic Schrödinger operators, with large long or short range potentials, in dimensions n≥3 . We prove that the same estimates remain valid in all dimensions n≥2 .en
dc.format.mimetypeapplication/pdf
dc.languageeng
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofseriesRevista Matemática Complutense
dc.rightsIn Copyright
dc.subject.otherSchrödingerin yhtälö
dc.subject.otherresolvent estimates
dc.subject.otherSchrödinger equation
dc.subject.othermagnetic potentials
dc.subject.otherlimiting absorption principle
dc.titleResolvent estimates for the magnetic Schrödinger operator in dimensions ≥2
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-201908013739
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.contributor.oppiaineMatematiikkafi
dc.contributor.oppiaineMathematicsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
jyx.note.urihttps://rdcu.be/bMF6b
dc.description.reviewstatuspeerReviewed
dc.format.pagerange619-641
dc.relation.issn1139-1138
dc.relation.numberinseries2
dc.relation.volume33
dc.type.versionacceptedVersion
dc.rights.copyright© Universidad Complutense de Madrid 2019
dc.rights.accesslevelopenAccessfi
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.ysomatematiikka
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p3160
dc.rights.urlhttp://rightsstatements.org/page/InC/1.0/?language=en
dc.relation.doi10.1007/s13163-019-00316-z
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.fundinginformationC.M. was supported by Spanish government predoctoral Grant BES-2015-074055 and projects MTM2014-57769-C3-1-P and MTM2017-85934-C3-3-P. L.P. and M.S. were supported by the Academy of Finland (Centre of Excellence in Inverse Modeling and Imaging, Grant Nos. 284715 and 309963) and by the European Research Council under Horizon 2020 (ERC CoG 770924)


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