Lower bound for the life span of the Kirchhoff equation]{A lower
bound for the life span of solutions to the Kirchhoff equation with
Gevrey data
- Tokio Matsuyama
, - Lenny Neyt
Tokio Matsuyama
Chuo University Faculty of Science and Engineering Graduate School of Science and Engineering
Corresponding Author:tokio@math.chuo-u.ac.jp
Author ProfileAbstract
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.
