Rupert L. Frank (Ludwig-Maximilians-Universitat Munchen), Ari Laptev (Technology Imperial College of Science and L Medicine, Timo Weidl (Universitat Stuttgart)

Schrödinger Operators: Eigenvalues and Lieb-Thirring Inequalities

• Gebundenes Buch

Produktbeschreibung

Eigenvalues of Laplace and Schrà  dinger operators play a fundamental role in many applications in mathematics and physics. This graduate-level book is devoted to their qualitative and quantitative mathematical analysis. It assumes no prior knowledge in this area and leads up to cutting-edge research on sharp constants in Liebà â â Thirring inequalities.

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Produktdetails

• Cambridge Studies in Advanced Mathematics
• Verlag: Cambridge University Press
• Seitenzahl: 512
• Erscheinungstermin: 17. November 2022
• Englisch
• Abmessung: 232mm x 157mm x 36mm
• Gewicht: 860g
• ISBN-13: 9781009218467
• ISBN-10: 1009218468
• Artikelnr.: 64222211

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.