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Complex Analytic Method for Hyperbolic Equations of Second Order

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Complex Methods for Partial Differential Equations

Part of the book series: International Society for Analysis, Applications and Computation ((ISAA,volume 6))

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Abstract

At first hyperbolic numbers and hyperbolic complex functions are introduced. On this basis existence and uniqueness of solutions of oblique derivative problems for some hyperbolic complex equations of second order are discussed by a complex analytic method.

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References

  1. Bers, L.: Theory of pseudo-analytic functions. (Courant Institute), New York, 1953.

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  2. Bitsadze, A.V.: Some classes of partial differential equations. Gordon and Breach, New York, 1988.

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  3. Pu, D.Q.: Function-theoretic process of hyperbolic equations. Integral equations and boundary value problems. Eds. G.-C. Wen, Z. Zhao. World Scientific, Singapore, 1991, 161–169.

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  4. Vekua, I.N.: Generalized analytic functions. Pergamon, Oxford, 1962.

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  5. Wen, G.-C.: Oblique derivative problems for linear mixed equations of second order. Sci. in China Ser. A 41(1998), 346–356.

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  6. Wen, G.-C., Begehr, H.: Boundary value problems for elliptic equations and systems. Longman, Harlow, 1990.

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  7. Xiang, X.J.: Pan-complex functions and its applications in mathematics and physics. Northest Normal University Press, Changchun, 1988 (Chinese).

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Author information

Authors and Affiliations

  1. Department of Mathematics, Peking Universtiy, Beijing, 100871, China

    G.-C. Wen

Authors
  1. G.-C. Wen
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Editor information

Editors and Affiliations

  1. I. Mathematisches Institut, Freie Universität Berlin, Berlin, Germany

    Heinrich G. W. Begehr

  2. Department of Mathematics, Faculty of Sciences, Middle East Technical University, Ankara, Turkey

    A. Okay Celebi

  3. Institut für Mathematik, Technische Universität Graz, Graz, Austria

    Wolfgang Tutschke

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© 1999 Kluwer Academic Publishers

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Wen, GC. (1999). Complex Analytic Method for Hyperbolic Equations of Second Order. In: Begehr, H.G.W., Celebi, A.O., Tutschke, W. (eds) Complex Methods for Partial Differential Equations. International Society for Analysis, Applications and Computation, vol 6. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3291-6_17

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  • DOI: https://doi.org/10.1007/978-1-4613-3291-6_17

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-3293-0

  • Online ISBN: 978-1-4613-3291-6

  • eBook Packages: Springer Book Archive

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