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Lieb-Thirring inequalities with improved constants

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Date
2008
Link to item file
http://hal.archives-ouvertes.fr/hal-00166707/en/
Dewey
Probabilités et mathématiques appliquées
Sujet
Lieb-Thirring inequalities; Schroedinger operator; Sobolev inequalities
Journal issue
Journal of the European Mathematical Society
Volume
10
Number
4
Publication date
2008
Article pages
1121-1126
Publisher
EMS
DOI
http://dx.doi.org/10.4171/JEMS/142
URI
https://basepub.dauphine.fr/handle/123456789/545
Collections
  • CEREMADE : Publications
Metadata
Show full item record
Author
Dolbeault, Jean
Laptev, Ari
Loss, Michael
Type
Article accepté pour publication ou publié
Abstract (EN)
Following Eden and Foias we obtain a matrix version of a generalised Sobolev inequality in one-dimension. This allow us to improve on the known estimates of best constants in Lieb-Thirring inequalities for the sum of the negative eigenvalues for multi-dimensional Schroedinger operators.

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