no. 5
Partial differential equations
Almost global well-posedness of Kirchhoff equation with Gevrey data
[L'équation de Kirchhoff avec données de Gevrey est presque globalement bien posée]

Présenté par : the Editorial Board

Matsuyama, Tokio1 ; Ruzhansky, Michael2
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, Tome 355 (2017) no. 5, pp. 522-525.

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.

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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2017.04.001
Matsuyama, Tokio 1 ; Ruzhansky, Michael 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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Matsuyama, Tokio; Ruzhansky, Michael. Almost global well-posedness of Kirchhoff equation with Gevrey data. Comptes Rendus. Mathématique, Tome 355 (2017) no. 5, pp. 522-525. doi : 10.1016/j.crma.2017.04.001. http://www.numdam.org/articles/10.1016/j.crma.2017.04.001/

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