Sharp Boundary Trace Theory and Schrodinger Operators on Bounded Lipschitz Domains

Author:   Jussi Behrndt ,  Fritz Gesztesy ,  Marius Mitrea
Publisher:   American Mathematical Society
ISBN:  

9781470472672


Pages:   208
Publication Date:   30 June 2025
Format:   Paperback
Availability:   Not yet available   Availability explained
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Sharp Boundary Trace Theory and Schrodinger Operators on Bounded Lipschitz Domains


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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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Author:   Jussi Behrndt ,  Fritz Gesztesy ,  Marius Mitrea
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
ISBN:  

9781470472672


ISBN 10:   1470472678
Pages:   208
Publication Date:   30 June 2025
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Not yet available   Availability explained
This item is yet to be released. You can pre-order this item and we will dispatch it to you upon its release.

Table of Contents

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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Author Information

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

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