On boundary value problems for Dirac type operators. I. Regularity and self-adjointness
摘要
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. The results of this paper have been announced in math.DG/9902100
引用
@article{arxiv.math/9905181,
title = {On boundary value problems for Dirac type operators. I. Regularity and self-adjointness},
author = {Jochen Brüning and Matthias Lesch},
journal= {arXiv preprint arXiv:math/9905181},
year = {2007}
}
备注
LaTeX2e, 55 pages; June 23, 1999, minor correction