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

Analysis of PDEs 2022-01-11 v1 Functional Analysis

Abstract

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.

Keywords

Cite

@article{arxiv.2201.02814,
  title  = {A lower bound for the life span of solutions to the Kirchhoff equation with Gevrey data},
  author = {Tokio Matsuyama and Lenny Neyt},
  journal= {arXiv preprint arXiv:2201.02814},
  year   = {2022}
}

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12 pages