Rupert L. Frank, Ari Laptev, Timo Weidl

Schrodinger Operators: Eigenvalues and Lieb-Thirring Inequalities (eBook, PDF)

• Format: PDF

Produktbeschreibung

Takes readers from the very basic facts to the most recent results on eigenvalues of Laplace and Schrödinger operators.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 17. November 2022
• Englisch
• ISBN-13: 9781009218443
• Artikelnr.: 70913478

Autorenporträt

Rupert L. Frank holds a chair in applied mathematics at LMU Munich and is doing research primarily in analysis and mathematical physics. He is an invited speaker at the 2022 International Congress of Mathematics.

Inhaltsangabe

Overview
Part I. Background Material: 1. Elements of operator theory
2. Elements of Sobolev space theory
Part II. The Laplace and Schrödinger Operators: 3. The Laplacian on a domain
4. The Schrödinger operator
Part III. Sharp Constants in Lieb-Thirring Inequalities:5. Sharp Lieb-Thirring inequalities
6. Sharp Lieb-Thirring inequalities in higher dimensions
7. More on sharp Lieb-Thirring inequalities
8. More on the Lieb-Thirring constants
References
Index.