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

Kazumasa Fujiwara; Vladimir Georgiev

doi:10.1016/j.jmaa.2024.128107

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

Kazumasa Fujiwara^*, Vladimir Georgiev

^*Corresponding author for this work

Graduate School of Advanced Science and Engineering

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Article number	128107
Journal	Journal of Mathematical Analysis and Applications
Volume	535
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2024.128107
Publication status	Published - 2024 Jul 1

Keywords

Cauchy problem
Classical damped wave equations
Critical exponent
Lifespan estimate
Power-type nonlinearity

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2024.128107

Cite this

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title = "Lifespan estimates for 1d damped wave equation with zero moment initial data",

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.",

keywords = "Cauchy problem, Classical damped wave equations, Critical exponent, Lifespan estimate, Power-type nonlinearity",

author = "Kazumasa Fujiwara and Vladimir Georgiev",

note = "Publisher Copyright: {\textcopyright} 2024 Elsevier Inc.",

year = "2024",

month = jul,

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doi = "10.1016/j.jmaa.2024.128107",

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AU - Fujiwara, Kazumasa

AU - Georgiev, Vladimir

PY - 2024/7/1

Y1 - 2024/7/1

N2 - 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.

AB - 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.

KW - Cauchy problem

KW - Classical damped wave equations

KW - Critical exponent

KW - Lifespan estimate

KW - Power-type nonlinearity

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JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

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M1 - 128107

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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