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arXiv · 2212.13845

On extended lifespan for 1d damped wave equation

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 sum of initial position and speed is $0$ pointwisely. Especially, an extension of lifespan is shown in this case. Moreover, existence of some global solutions are obtained by a direct computation.

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Kazumasa Fujiwara, Vladimir Georgiev. 2022-12-28. On extended lifespan for 1d damped wave equation. https://arxiv.org/abs/2212.13845

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