arXiv 2201.028142022-01-08math.APmath.FA

A lower bound for the life span of solutions to the Kirchhoff equation with Gevrey data

Tokio Matsuyama, Lenny Neyt

备注：: 12 pages

英文摘要：

We provide a new lower bound for the life span of solutions to the Kirchhoff equation for which the initial data belongs to the Gevrey space. This lower bound strictly improves the classical one in the case when the frequency spectrum of the initial data is concentrated at the origin.

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