Guide to Boundary Value Problems for Dirac-Type Operators
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2013
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| _version_ | 1866913523875971072 |
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| author | Baer, Christian Ballmann, Werner |
| author_facet | Baer, Christian Ballmann, Werner |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1307_3021 |
| institution | arXiv |
| publishDate | 2013 |
| record_format | arxiv |
| spellingShingle | Guide to Boundary Value Problems for Dirac-Type Operators Baer, Christian Ballmann, Werner Differential Geometry Analysis of PDEs Spectral Theory 35J56, 58J05, 58J20, 58J32 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. |
| title | Guide to Boundary Value Problems for Dirac-Type Operators |
| topic | Differential Geometry Analysis of PDEs Spectral Theory 35J56, 58J05, 58J20, 58J32 |
| url | https://arxiv.org/abs/1307.3021 |