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

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

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...

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Veröffentlicht in:Journal of mathematical analysis and applications 2024-07, Vol.535 (1), p.128107, Article 128107
Hauptverfasser: Fujiwara, Kazumasa, Georgiev, Vladimir
Format: Artikel
Sprache:eng
Schlagworte:
Cauchy problem
Classical damped wave equations
Critical exponent
Lifespan estimate
Power-type nonlinearity
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Zusammenfassung: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.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2024.128107