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

Kazumasa Fujiwara; Vladimir Georgiev

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arXiv · 2308.11113

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

Kazumasa Fujiwara·Vladimir Georgiev

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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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Kazumasa Fujiwara, Vladimir Georgiev. 2023-08-22. Lifespan estimates for 1d damped wave equation with zero moment initial data. https://arxiv.org/abs/2308.11113

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