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On the Cauchy Problem for Hyperbolic Operators with Double Characteristics

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Evolution Equations of Hyperbolic and Schrödinger Type

Part of the book series: Progress in Mathematics ((PM,volume 301))

Abstract

The aim of this work is to provide a survey, along with new recent results, of what is known about the C ∞ well-posedness of the Cauchy problem for hyperbolic operators with double characteristics. Some conjectures and open problems will also be presented.

Mathematics Subject Classification. Primary 35A05; Secondary 35L15, 35L80.

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Author information

Authors and Affiliations

  1. Department of Computer Science, University of Bologna, Via Mura Anteo Zamboni, 7, I-40126, Bologna, Italy

    Cesare Parenti

  2. Department of Mathematics, University of Bologna, Piazza di Porta San Donato, 5, I-40126, Bologna, Italy

    Alberto Parmeggiani

Authors
  1. Cesare Parenti
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  2. Alberto Parmeggiani
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Correspondence to Cesare Parenti .

Editor information

Editors and Affiliations

  1. , Department of Mathematics, Imperial College London, 180 Queen's Gate, London, SW7 2AZ, United Kingdom

    Michael Ruzhansky

  2. , Graduate School of Mathematics, Nagoya University, Furocho, Chikusaku, Nagoya, 464-8602, Japan

    Mitsuru Sugimoto

  3. , Fachbereich Mathematik, Universität Stuttgart, Pfaffenwaldring 57, Stuttgart, 70569, Germany

    Jens Wirth

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Parenti, C., Parmeggiani, A. (2012). On the Cauchy Problem for Hyperbolic Operators with Double Characteristics. In: Ruzhansky, M., Sugimoto, M., Wirth, J. (eds) Evolution Equations of Hyperbolic and Schrödinger Type. Progress in Mathematics, vol 301. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0454-7_13

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