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On the determination of formal solutions of a system of partial differential equations

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Book cover Applied Algebra, Algebraic Algorithms and Error-Correcting Codes (AAECC 1995)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 948))

Abstract

This paper reports on the formal solutions of a general system of partial differential equations, obtained by saturation. We prove the existence of a relationship between the stability analysis (well-posedness of a Cauchy problem) and the formal stability. As an example, we study the system of Elastostatics.

Supported by DFG grant Ca 153/4-1

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Authors and Affiliations

  1. Fakultät für informatik, Institut für Algorithmen und Kognitive Systeme, Universität Karlsruhe, Am Fasanengarten 5, Postfach 6980, D-76128, Karlsruhe

    Jirung Albert Shih

Authors
  1. Jirung Albert Shih
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Gérard Cohen Marc Giusti Teo Mora

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© 1995 Springer-Verlag Berlin Heidelberg

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Shih, J.A. (1995). On the determination of formal solutions of a system of partial differential equations. In: Cohen, G., Giusti, M., Mora, T. (eds) Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. AAECC 1995. Lecture Notes in Computer Science, vol 948. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60114-7_34

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  • DOI: https://doi.org/10.1007/3-540-60114-7_34

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60114-2

  • Online ISBN: 978-3-540-49440-9

  • eBook Packages: Springer Book Archive

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