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Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators

✍ Scribed by Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert


Book ID
111904551
Publisher
American Mathematical Society
Year
2007
Tongue
English
Weight
63 KB
Volume
21
Category
Article
ISSN
0894-0347

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Lieb–Thirring inequalities for higher or
✍ Clemens Förster; Jörgen Östensson 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 201 KB

## Abstract We derive Lieb–Thirring inequalities for the Riesz means of eigenvalues of order __γ__ ≥ 3/4 for a fourth order operator in arbitrary dimensions. We also consider some extensions to polyharmonic operators, and to systems of such operators, in dimensions greater than one. For the critica