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

2022/01/08 by Tokio Matsuyama, Matsuyama, Tokio, Lenny Neyt +1
Computer Science · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Primary 35L20 #Secondary 35L72

paper · pdf · doi:10.48550/arxiv.2201.02814

openalex publication_date 2022/01/08 · openalex created_date 2022/04/03 · openalex updated_date 2026/07/28

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.

Related

• Almost global existence for Kirchhoff equations around global solutions
• The global solvability of the Kirchhoff equation with Sobolev data
• Global solutions to the Kirchhoff equation with spectral gap data in the energy space
• Quantitative lower bound for lifespan for solution of Navier-Stokes equations
• The lifespan of small data solutions to the KP-I