On the Gevrey well-posedness of the Kirchhoff equation

Tokio Matsuyama; Michael Ruzhansky

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arXiv · 1508.05305

On the Gevrey well-posedness of the Kirchhoff equation

Tokio Matsuyama·Michael Ruzhansky

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Abstract

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

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Tokio Matsuyama, Michael Ruzhansky. 2015-10-21. On the Gevrey well-posedness of the Kirchhoff equation. https://arxiv.org/abs/1508.05305

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