Cahiers du CEREMADE

Unité Mixte de Recherche du C.N.R.S. N°7534
 
Abstract : 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.
 
 
Lieb-Thirring inequalities with improved constants
DOLBEAULT Jean, LAPTEV Ari, LOSS Michael
2007-43
08-08-2007
 
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