On the Gevrey well-posedness of the Kirchhoff equation

Tokio Matsuyama; Michael Ruzhansky

On the Gevrey well-posedness of the Kirchhoff equation

Analysis of PDEs 2015-10-22 v3

Authors: Tokio Matsuyama , Michael Ruzhansky

Abstract

This paper is devoted to proving the almost global solvability of the Cauchy problem for the Kirchhoff equation in the Gevrey space $\gamma^s_{\eta,L^2}$ . Furthermore, similar results are obtained for the initial-boundary value problems in bounded domains and in exterior domains with compact boundary.

Keywords

Kirchhoff equation Gevrey well-posedness Cauchy problem almost global solvability initial-boundary value problem

Cite

@article{arxiv.1508.05305,
  title  = {On the Gevrey well-posedness of the Kirchhoff equation},
  author = {Tokio Matsuyama and Michael Ruzhansky},
  journal= {arXiv preprint arXiv:1508.05305},
  year   = {2015}
}

Comments

Revised version to replace previous ones

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