
Interpolation inequalities and spectral estimates for magnetic operators
Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari; Loss, Michael (2018), Interpolation inequalities and spectral estimates for magnetic operators, Annales Henri Poincaré, 19, p. 1439–1463. https://doi.org/10.1007/s00023-018-0663-9
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Type
Article accepté pour publication ou publiéExternal document link
https://hal.archives-ouvertes.fr/hal-01534961Date
2018Journal name
Annales Henri PoincaréVolume
19Pages
1439–1463
Publication identifier
Metadata
Show full item recordAuthor(s)
Dolbeault, Jean
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Esteban, Maria J.

Department of Mathematics [Imperial College London]
Laptev, Ari
Department of Mathematics Krasnoyarsk State University
Loss, Michael
School of Mathematics - Georgia Institute of Technology
Abstract (EN)
We prove magnetic interpolation inequalities and Keller-Lieb-Thir-ring 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.Subjects / Keywords
Keller-Lieb-Thirring estimates; Gagliardo-Ni- renberg inequalities; spectral gap; optimal constants; Magnetic Laplacian; magnetic Schrödinger operator; logarithmic Sobolev inequalities; interpolationRelated items
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