Interpolation Inequalities and Spectral Estimates for Magnetic Operators
File(s)
Accepted version
Author(s)
Dolbeault, Jean
Esteban, Maria J
Laptev, Ari
Loss, Michael
Type
Journal Article
Abstract
We prove magnetic interpolation inequalities and Keller–Lieb–Thirring estimates for the principal eigenvalue of magnetic Schrödinger operators. We establish explicit upper and lower bounds for the best constants and show by numerical methods that our theoretical estimates are accurate.
Date Issued
2018-05-01
Date Acceptance
2018-01-28
Citation
ANNALES HENRI POINCARE, 2018, 19 (5), pp.1439-1463
ISSN
1424-0637
Publisher
SPRINGER BASEL AG
Start Page
1439
End Page
1463
Journal / Book Title
ANNALES HENRI POINCARE
Volume
19
Issue
5
Copyright Statement
© 2018 Springer International Publishing AG, part of Springer Nature. The final publication is available at https://dx.doi.org/10.1007/s00023-018-0663-9
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000429799900005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Physics, Multidisciplinary
Physics, Particles & Fields
Physics, Mathematical
Physics
LOGARITHMIC SOBOLEV INEQUALITIES
SCHRODINGER-EQUATION
POSITIVE SOLUTIONS
UNIQUENESS
SYMMETRY
FIELDS
Publication Status
Published
Date Publish Online
2018-03-16