Sharp Boundary Trace Theory and Schrodinger Operators on Bounded Lipschitz Domains

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

• Chapters1. Introduction2. Sobolev and Besov Spaces on Lipschitz Domains3. A Sharp Dirichlet Trace Involving Sobolev and Besov Spaces4. Divergence theorems with Sobolev traces5. A sharp Neumann trace involving Sobolev spaces6. Schrodinger operators on open sets and bounded Lipschitz domains7. Weyl-Titchmarsh operators for Schrodinger operators on bounded Lipschitz domains8. Maximal extensions of the Dirichlet and Neumann trace on bounded Lipschitz domains9. The Krein-von Neumann extension on bounded Lipschitz domains10. A description of all self-adjoint extensions and Krein-type resolvent formulas for Schrodinger operators on bounded Lipschitz domains11. The case of variable coefficient operators