Guide to Boundary Value Problems for Dirac-Type Operators
arXiv:1307.3021 · doi:10.1007/978-3-319-43648-7_3
Abstract
We present an introduction to boundary value problems for Dirac-type operators on complete Riemannian manifolds with compact boundary. We introduce a very general class of boundary conditions which contains local elliptic boundary conditions in the sense of Lopatinskij and Shapiro as well as the Atiyah-Patodi-Singer boundary conditions. We discuss boundary regularity of solutions and also spectral and index theory. The emphasis is on providing the reader with a working knowledge.
30 pages, 2 figures, identical with published version up to layout