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Sharp Boundary Trace Theory and Schrodinger Operators on Bounded Lipschitz Domains - Jussi Behrndt, Fritz Gesztesy, Marius Mitrea

Sharp Boundary Trace Theory and Schrodinger Operators on Bounded Lipschitz Domains

Buch | Softcover
208 Seiten
2025
American Mathematical Society (Verlag)
978-1-4704-7267-2 (ISBN)
CHF 139,30 inkl. MwSt
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Publishing extended, interconnected studies in both pure and applied mathematics, the Memoirs of the AMS collects groups of related research papers into unified volumes that offer in-depth insights. Supervised by an esteemed editorial committee, each contribution is rigorously peer-reviewed for scholarly excellence.
The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.

Jussi Behrndt, Technische Universitat Graz, Austria. Fritz Gesztesy, Baylor University, Waco, Texas. Marius Mitrea, Baylor University, Waco, Texas.

Chapters
1. Introduction
2. Sobolev and Besov Spaces on Lipschitz Domains
3. A Sharp Dirichlet Trace Involving Sobolev and Besov Spaces
4. Divergence theorems with Sobolev traces
5. A sharp Neumann trace involving Sobolev spaces
6. Schrodinger operators on open sets and bounded Lipschitz domains
7. Weyl-Titchmarsh operators for Schrodinger operators on bounded Lipschitz domains
8. Maximal extensions of the Dirichlet and Neumann trace on bounded Lipschitz domains
9. The Krein-von Neumann extension on bounded Lipschitz domains
10. A description of all self-adjoint extensions and Krein-type resolvent formulas for Schrodinger operators on bounded Lipschitz domains
11. The case of variable coefficient operators

Erscheinungsdatum
Reihe/Serie Memoirs of the American Mathematical Society
Verlagsort Providence
Sprache englisch
Maße 178 x 254 mm
Themenwelt Mathematik / Informatik Mathematik Analysis
ISBN-10 1-4704-7267-8 / 1470472678
ISBN-13 978-1-4704-7267-2 / 9781470472672
Zustand Neuware
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