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.

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