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arXiv · 1307.3021

Guide to Boundary Value Problems for Dirac-Type Operators

Christian Baer·Werner Ballmann
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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.

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BibTeXRIS

Christian Baer, Werner Ballmann. 2013-07-11. Guide to Boundary Value Problems for Dirac-Type Operators. https://doi.org/10.1007/978-3-319-43648-7_3

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