Resolvent estimates for the magnetic Schrödinger operator in dimensions ≥2

Meroño, Cristóbal J,; Potenciano-Machado, Leyter; Salo, Mikko

doi:10.1007/s13163-019-00316-z

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