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Clifford-Analysis and Elliptic Boundary Value Problems

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Clifford Algebras and Spinor Structures

Part of the book series: Mathematics and Its Applications ((MAIA,volume 321))

Abstract

The aim of this paper is to consider some elliptic boundary value problems in n dimensions. The authors transfer a quaternionic operator calculus for three-dimensional problems developed in former papers to the higher dimensional case. Principal ideas will be offered for the investigation of certain practical and interesting problems.

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References

  1. Brackx, F., Delanghe, R., Sommen, F., Clifford analysis, Research Notes in Mathematics Nr. 76, Pitman London 1982.

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  2. Gürlebeck, K. and Sprößig, W., Quaternionic Analysis and Elliptic Boundary Value Problems, ISNM 89, Birkhäuser-Verlag Basel, 1990.

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  4. Gürlebeck, K. and Sprößig, W., A Unified Approach to Estimation of Lower Bounds for the first Eigenvalue of several Elliptic Boundary Value Problems, Math. Nachr. 131, 1987.

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  5. Kawohl, B., Velte, W., and Levine, H. A., On eigenvalues of a clamped plate under compression and related questions, SIAM J. Math. Anal., Vol. 24, (1993), No. 2, 327–341.

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  7. Ryan, J., Intrinsic Dirac Operators in C n, Advances in Mathematics, to appear.

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Author information

Authors and Affiliations

  1. Fakultät für Mathematik, Technische Universität Chemnitz-Zwickau, PSF 964, D-09009, Chemnitz, Germany

    Klaus Gürlebeck

  2. Fakultät für Mathematik und Informatik, TU Bergakademie Freiberg, Bernhard-von-Cotta-Str. 2, D-09596, Freiberg, Germany

    Wolfgang Sprössig

Authors
  1. Klaus Gürlebeck
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  2. Wolfgang Sprössig
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Editor information

Editors and Affiliations

  1. Gannon University, Erie, Pennsylvania, USA

    Rafał Ablamowicz

  2. Helsinki University of Technology, Espoo, Finland

    Pertti Lounesto

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© 1995 Springer Science+Business Media Dordrecht

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Gürlebeck, K., Sprössig, W. (1995). Clifford-Analysis and Elliptic Boundary Value Problems. In: Ablamowicz, R., Lounesto, P. (eds) Clifford Algebras and Spinor Structures. Mathematics and Its Applications, vol 321. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8422-7_20

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  • DOI: https://doi.org/10.1007/978-94-015-8422-7_20

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4525-6

  • Online ISBN: 978-94-015-8422-7

  • eBook Packages: Springer Book Archive

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