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Hyperbolicity for Systems

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Analysis and Applications — ISAAC 2001

Part of the book series: International Society for Analysis, Applications and Computation ((ISAA,volume 10))

Abstract

We study the Cauchy problem for (mainly) first order systems. Our main concern is to investigate for which systems the Cauchy problem is C ∞ well posed for any lower order terms (strong hyperbolicity), or for which systems the Cauchy problem is C ∞ well posed (hyperbolicity). We here present a survey of the subject, in particular focussing the interests on the necessary conditions for strong hyperbolicity or just hyperbolicity.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Osaka University, Machikaneyama 1-16, Toyonaka Osaka, 560-0043, Japan

    Tatsuo Nishitani

Authors
  1. Tatsuo Nishitani
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Editor information

Editors and Affiliations

  1. Freie Universität Berlin, Berlin, Germany

    Heinrich G. W. Begehr

  2. University of Delaware, Newark, DE, USA

    Robert P. Gilbert

  3. York University, Toronto, Canada

    Man Wah Wong

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Nishitani, T. (2003). Hyperbolicity for Systems. In: Begehr, H.G.W., Gilbert, R.P., Wong, M.W. (eds) Analysis and Applications — ISAAC 2001. International Society for Analysis, Applications and Computation, vol 10. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3741-7_16

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  • DOI: https://doi.org/10.1007/978-1-4757-3741-7_16

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-5247-9

  • Online ISBN: 978-1-4757-3741-7

  • eBook Packages: Springer Book Archive

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