Comptes Rendus
no. 5
Partial differential equations
Almost global well-posedness of Kirchhoff equation with Gevrey data

Presented by: the Editorial Board

Tokio Matsuyama1; Michael Ruzhansky2
1 Department of Mathematics, Chuo University, 1-13-27, Kasuga, Bunkyo-ku, Tokyo 112-8551, Japan
2 Department of Mathematics, Imperial College London, 180 Queen's Gate, London SW7 2AZ, United Kingdom
Comptes Rendus. Mathématique, Volume 355 (2017) no. 5, pp. 522-525.

The aim of this note is to present the almost global well-posedness result for the Cauchy problem for the Kirchhoff equation with large data in Gevrey spaces. We also briefly discuss the corresponding results in bounded and in exterior domains.

Le propos de cette Note est d'énoncer que l'équation de Kirchhoff avec des données grandes dans les espaces de Gevrey est presque globalement bien posée. Nous discutons aussi brièvement les résultats correspondants dans les domaines bornés et les domaines extérieurs.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2017.04.001

Tokio Matsuyama 1; Michael Ruzhansky 2

1 Department of Mathematics, Chuo University, 1-13-27, Kasuga, Bunkyo-ku, Tokyo 112-8551, Japan
2 Department of Mathematics, Imperial College London, 180 Queen's Gate, London SW7 2AZ, United Kingdom 
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Tokio Matsuyama; Michael Ruzhansky. Almost global well-posedness of Kirchhoff equation with Gevrey data. Comptes Rendus. Mathématique, Volume 355 (2017) no. 5, pp. 522-525. doi : 10.1016/j.crma.2017.04.001. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2017.04.001/

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