Resolvent estimates for the magnetic Schrödinger operator in dimensions ≥2
| dc.contributor.author | Meroño, Cristóbal J, | |
| dc.contributor.author | Potenciano-Machado, Leyter | |
| dc.contributor.author | Salo, Mikko | |
| dc.date.accessioned | 2019-08-01T05:03:28Z | |
| dc.date.available | 2019-08-01T05:03:28Z | |
| dc.date.issued | 2020 | |
| dc.identifier.citation | Meroño, 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.other | CONVID_32174433 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/65176 | |
| dc.description.abstract | It 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.mimetype | application/pdf | |
| dc.language | eng | |
| dc.language.iso | eng | |
| dc.publisher | Springer | |
| dc.relation.ispartofseries | Revista Matemática Complutense | |
| dc.rights | In Copyright | |
| dc.subject.other | Schrödingerin yhtälö | |
| dc.subject.other | resolvent estimates | |
| dc.subject.other | Schrödinger equation | |
| dc.subject.other | magnetic potentials | |
| dc.subject.other | limiting absorption principle | |
| dc.title | Resolvent estimates for the magnetic Schrödinger operator in dimensions ≥2 | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-201908013739 | |
| dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
| dc.contributor.laitos | Department of Mathematics and Statistics | en |
| dc.contributor.oppiaine | Matematiikka | fi |
| dc.contributor.oppiaine | Mathematics | en |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
| jyx.note.uri | https://rdcu.be/bMF6b | |
| dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 619-641 | |
| dc.relation.issn | 1139-1138 | |
| dc.relation.numberinseries | 2 | |
| dc.relation.volume | 33 | |
| dc.type.version | acceptedVersion | |
| dc.rights.copyright | © Universidad Complutense de Madrid 2019 | |
| dc.rights.accesslevel | openAccess | fi |
| dc.relation.grantnumber | 770924 | |
| dc.relation.grantnumber | 770924 | |
| dc.relation.grantnumber | 284715 HY | |
| dc.relation.grantnumber | 309963 | |
| dc.relation.projectid | info:eu-repo/grantAgreement/EC/H2020/770924/EU//IPTheoryUnified | |
| dc.subject.yso | matematiikka | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p3160 | |
| dc.rights.url | http://rightsstatements.org/page/InC/1.0/?language=en | |
| dc.relation.doi | 10.1007/s13163-019-00316-z | |
| dc.relation.funder | European Commission | en |
| dc.relation.funder | Research Council of Finland | en |
| dc.relation.funder | Research Council of Finland | en |
| dc.relation.funder | Euroopan komissio | fi |
| dc.relation.funder | Suomen Akatemia | fi |
| dc.relation.funder | Suomen Akatemia | fi |
| jyx.fundingprogram | ERC Consolidator Grant | en |
| jyx.fundingprogram | Centre of Excellence, AoF | en |
| jyx.fundingprogram | Academy Project, AoF | en |
| jyx.fundingprogram | ERC Consolidator Grant | fi |
| jyx.fundingprogram | Huippuyksikkörahoitus, SA | fi |
| jyx.fundingprogram | Akatemiahanke, SA | fi |
| jyx.fundinginformation | C.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) | |
| dc.type.okm | A1 |
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