Lieb-Thirring inequalities with improved constants

• Autores: Jean Dolbeault , Ari Laptev, Michael Loss
• Localización: Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 10, Nº 4, 2008, págs. 1121-1126
• Idioma: inglés
• DOI: 10.4171/jems/142
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• Resumen

  • Following Eden and Foias we obtain a matrix version of a generalised Sobolev inequality in one-dimension. This allows us to improve on the known estimates of best constants in Lieb-Thirring inequalities for the sum of the negative eigenvalues for multi-dimensional Schrödinger operators