Imperial College London

ProfessorAriLaptev

Faculty of Natural SciencesDepartment of Mathematics

Chair in Pure Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 8499a.laptev Website

 
 
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Assistant

 

Mr David Whittaker +44 (0)20 7594 8481

 
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Location

 

680Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Dolbeault:2018:10.1007/s00023-018-0663-9,
author = {Dolbeault, J and Esteban, MJ and Laptev, A and Loss, M},
doi = {10.1007/s00023-018-0663-9},
journal = {ANNALES HENRI POINCARE},
pages = {1439--1463},
title = {Interpolation Inequalities and Spectral Estimates for Magnetic Operators},
url = {http://dx.doi.org/10.1007/s00023-018-0663-9},
volume = {19},
year = {2018}
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - 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.
AU - Dolbeault,J
AU - Esteban,MJ
AU - Laptev,A
AU - Loss,M
DO - 10.1007/s00023-018-0663-9
EP - 1463
PY - 2018///
SN - 1424-0637
SP - 1439
TI - Interpolation Inequalities and Spectral Estimates for Magnetic Operators
T2 - ANNALES HENRI POINCARE
UR - http://dx.doi.org/10.1007/s00023-018-0663-9
UR - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000429799900005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR - http://hdl.handle.net/10044/1/59064
VL - 19
ER -