Guide to Boundary Value Problems for Dirac-Type Operators
Differential Geometry
2024-10-02 v2 Analysis of PDEs
Spectral Theory
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.
Cite
@article{arxiv.1307.3021,
title = {Guide to Boundary Value Problems for Dirac-Type Operators},
author = {Christian Baer and Werner Ballmann},
journal= {arXiv preprint arXiv:1307.3021},
year = {2024}
}
Comments
30 pages, 2 figures, identical with published version up to layout