L super()presolvent estimates for magnetic Schrodinger operators with unbounded background fields

We prove L super()pand smoothing estimates for the resolvent of magnetic Schrodinger operators. We allow electromagnetic potentials that are small perturbations of a smooth, but possibly unbounded background potential. As an application, we prove an estimate on the location of eigenvalues of magneti...

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Bibliographic Details
Published inCommunications in partial differential equations Vol. 42; no. 2; pp. 235 - 260
Main Authors Cuenin, Jean-Claude, Kenig, Carlos E
Format Journal Article
LanguageEnglish
Published 01.02.2017
Subjects
Eigenvalues
Estimates
Operators
Partial differential equations
Perturbation methods
Schroedinger equation
Smoothing
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Summary:We prove L super()pand smoothing estimates for the resolvent of magnetic Schrodinger operators. We allow electromagnetic potentials that are small perturbations of a smooth, but possibly unbounded background potential. As an application, we prove an estimate on the location of eigenvalues of magnetic Schrodinger and Pauli operators with complex electromagnetic potentials.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:0360-5302
1532-4133
DOI:10.1080/03605302.2017.1278769