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Global Well-Posedness of the Kirchhoff Equation and Kirchhoff Systems

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Book cover Analytic Methods in Interdisciplinary Applications

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 116))

Abstract

This article is devoted to review the known results on global well-posedness for the Cauchy problem to the Kirchhoff equation and Kirchhoff systems with small data. Similar results will be obtained for the initial-boundary value problems in exterior domains with compact boundary. Also, the known results on large data problems will be reviewed together with open problems.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Chuo University, 1-13-27, Kasuga, Bunkyo-ku, Tokyo, 112-8551, Japan

    Tokio Matsuyama

  2. Department of Mathematics, Imperial College London, 180 Queen’s Gate, London, SW7 2AZ, UK

    Michael Ruzhansky

Authors
  1. Tokio Matsuyama
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  2. Michael Ruzhansky
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Correspondence to Tokio Matsuyama .

Editor information

Editors and Affiliations

  1. Deptartment of Computer Sciences & Computational Methods, Pedagogical University, Krakow, Poland

    Vladimir V. Mityushev

  2. Department of Mathematics, Imperial College London, London, United Kingdom

    Michael Ruzhansky

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Matsuyama, T., Ruzhansky, M. (2015). Global Well-Posedness of the Kirchhoff Equation and Kirchhoff Systems. In: Mityushev, V., Ruzhansky, M. (eds) Analytic Methods in Interdisciplinary Applications. Springer Proceedings in Mathematics & Statistics, vol 116. Springer, Cham. https://doi.org/10.1007/978-3-319-12148-2_5

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