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Sharp Boundary Trace Theory and Schrodinger Operators on Bounded Lipschitz Domains

Jussi Behrndt Fritz Gesztesy Marius Mitrea

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English
American Mathematical Society
20 April 2025
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.
By:   , ,
Imprint:   American Mathematical Society
Country of Publication:   United States
Dimensions:   Height: 254mm,  Width: 178mm, 
ISBN:   9781470472672
ISBN 10:   1470472678
Series:   Memoirs of the American Mathematical Society
Pages:   208
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active
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

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

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