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The Kirchhoff Equation with Gevrey Data

  • Tokio MatsuyamaEmail author
  • Michael Ruzhansky
Conference paper
Part of the Trends in Mathematics book series (TM)

Abstract

In this article the Cauchy problem for the Kirchhoff equation is considered, and the almost global existence of Gevrey space solutions is described.

Keywords

Gevrey spaces Kirchhoff equation 

Mathematics Subject Classification (2010)

Primary 35L40 35L30 Secondary 35L10 35L05 35L75 

Notes

Acknowledgements

The first author was supported by Grant-in-Aid for Scientific Research (C) (No. 15K04967), Japan Society for the Promotion of Science. The second author was supported in parts by the EPSRC grant EP/K039407/1 and by the Leverhulme Research Grant RPG-2014-02. The authors were also supported in part by EPSRC Mathematics Platform grant EP/I019111/1. No new data was collected or generated during the course of the research.

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Department of MathematicsChuo UniversityTokyoJapan
  2. 2.Department of MathematicsImperial College LondonLondonUK

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