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Lieb-Thirring Inequalities for Geometrically Induced Bound States

✍ Scribed by Pavel Exner; Helmut Linde; Timo Weidl


Book ID
106455843
Publisher
Springer
Year
2004
Tongue
English
Weight
114 KB
Volume
70
Category
Article
ISSN
0377-9017

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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