Lieb-Thirring inequalities with improved constants
Analysis of PDEs
2011-11-10 v2
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.
Keywords
Cite
@article{arxiv.0708.1165,
title = {Lieb-Thirring inequalities with improved constants},
author = {Jean Dolbeault and Ari Laptev and Michael Loss},
journal= {arXiv preprint arXiv:0708.1165},
year = {2011}
}