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.
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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.
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  • 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
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Produktdetaljer

ISBN
9781470472672
Publisert
2025-06-30
Utgiver
American Mathematical Society
Høyde
254 mm
Bredde
178 mm
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
208

Biografisk notat

Jussi Behrndt, Technische Universitat Graz, Austria.

Fritz Gesztesy, Baylor University, Waco, Texas.

Marius Mitrea, Baylor University, Waco, Texas.