Elliptic Boundary Problems for Dirac Operators

  • Bernhelm Booß-Bavnbek
  • Krzysztof P. Wojciechowski

Part of the Mathematics: Theory & Applications book series (MTA)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Clifford Algebras and Dirac Operators

    1. Front Matter
      Pages 1-1
    2. Bernhelm Booß-Bavnbek, Krzysztof P. Wojciechowski
      Pages 3-9
    3. Bernhelm Booß-Bavnbek, Krzysztof P. Wojciechowski
      Pages 10-18
    4. Bernhelm Booß-Bavnbek, Krzysztof P. Wojciechowski
      Pages 19-25
    5. Bernhelm Booß-Bavnbek, Krzysztof P. Wojciechowski
      Pages 26-28
    6. Bernhelm Booß-Bavnbek, Krzysztof P. Wojciechowski
      Pages 29-35
    7. Bernhelm Booß-Bavnbek, Krzysztof P. Wojciechowski
      Pages 36-39
    8. Bernhelm Booß-Bavnbek, Krzysztof P. Wojciechowski
      Pages 40-42
    9. Bernhelm Booß-Bavnbek, Krzysztof P. Wojciechowski
      Pages 43-49
    10. Bernhelm Booß-Bavnbek, Krzysztof P. Wojciechowski
      Pages 50-58
    11. Bernhelm Booß-Bavnbek, Krzysztof P. Wojciechowski
      Pages 59-63
  3. Analytical and Topological Tools

    1. Front Matter
      Pages 65-65
    2. Bernhelm Booß-Bavnbek, Krzysztof P. Wojciechowski
      Pages 67-74
    3. Bernhelm Booß-Bavnbek, Krzysztof P. Wojciechowski
      Pages 75-94
    4. Bernhelm Booß-Bavnbek, Krzysztof P. Wojciechowski
      Pages 95-104
    5. Bernhelm Booß-Bavnbek, Krzysztof P. Wojciechowski
      Pages 105-110
    6. Bernhelm Booß-Bavnbek, Krzysztof P. Wojciechowski
      Pages 111-126
    7. Bernhelm Booß-Bavnbek, Krzysztof P. Wojciechowski
      Pages 127-137
    8. Bernhelm Booß-Bavnbek, Krzysztof P. Wojciechowski
      Pages 138-160

About this book

Introduction

Elliptic boundary problems have enjoyed interest recently, espe­ cially among C* -algebraists and mathematical physicists who want to understand single aspects of the theory, such as the behaviour of Dirac operators and their solution spaces in the case of a non-trivial boundary. However, the theory of elliptic boundary problems by far has not achieved the same status as the theory of elliptic operators on closed (compact, without boundary) manifolds. The latter is nowadays rec­ ognized by many as a mathematical work of art and a very useful technical tool with applications to a multitude of mathematical con­ texts. Therefore, the theory of elliptic operators on closed manifolds is well-known not only to a small group of specialists in partial dif­ ferential equations, but also to a broad range of researchers who have specialized in other mathematical topics. Why is the theory of elliptic boundary problems, compared to that on closed manifolds, still lagging behind in popularity? Admittedly, from an analytical point of view, it is a jigsaw puzzle which has more pieces than does the elliptic theory on closed manifolds. But that is not the only reason.

Keywords

Manifold Sobolev space algebra equation theorem

Authors and affiliations

  • Bernhelm Booß-Bavnbek
    • 1
  • Krzysztof P. Wojciechowski
    • 2
  1. 1.IMFUFARoskilde UniversityRoskildeDenmark
  2. 2.Department of MathematicsIUPUIIndianapolisUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-0337-7
  • Copyright Information Birkhäuser Boston 1993
  • Publisher Name Birkhäuser, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-6713-3
  • Online ISBN 978-1-4612-0337-7
  • About this book