Sfb 288 Differential Geometry and Quantum Physics

Abstract for Sfb Preprint No. 400

On boundary value problems for Dirac type operators. I. Regularity and self-adjointness

Jochen Brüning and Matthias Lesch

In a series of papers, we will develop systematically the basic spectral theory of (self-adjoint) boundary value problems for operators of Dirac type. We begin in this paper with the characterization of (self-adjoint) boundary conditions with optimal regularity, for which we will derive the heat asymptotics and index theorems in subsequent publications. Along with a number of new results, we extend and simplify the proofs of many known theorems.

Our point of departure is the simple structure which is displayed by Dirac type operators near the boundary. Thus our proofs are given in an abstract functional analytic setting, generalizing considerably the framework of compact manifolds with boundary.

---

Get a gzip-compressed PostScript copy of this preprint
preprint400.ps.gz (159 kB)

---