Mathematics – Analysis of PDEs
Scientific paper
2007-08-08
Mathematics
Analysis of PDEs
Scientific paper
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.
Dolbeault Jean
Laptev Ari
Loss Michael
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