Lifespan estimates for 1d damped wave equation with zero moment initial data

2023/08/22 by Fujiwara, Kazumasa, Georgiev, Vladimir
#35A01 #35B33 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2308.11113

Abstract

In this manuscript, a sharp lifespan estimate of solutions to semilinear classical damped wave equation is investigated in one dimensional case when the Fourier 0th moment of sum of initial position and speed is 0. Especially, it is shown that the behavior of lifespan changes with p=3/2 with respect to the size of the initial data.

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