Sharp Boundary Trace Theory and Schrodinger Operators on Bounded Lipschitz Domains (Memoirs of the American Mathematical Society)

Behrndt, Jussi/ Gesztesy, Fritz/ Mitrea, Marius

American Mathematical Society（2025/06発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 208 p.
• 言語 ENG
• 商品コード 9781470472672

Full Description

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.

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