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

^*この研究の対応する著者

大学院先進理工学研究科

研究成果: Article › 査読

1 被引用数 (Scopus)

抄録

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.

本文言語	English
論文番号	128107
ジャーナル	Journal of Mathematical Analysis and Applications
巻	535
号	1
DOI	https://doi.org/10.1016/j.jmaa.2024.128107
出版ステータス	Published - 2024 7月 1

ASJC Scopus subject areas

分析
応用数学

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10.1016/j.jmaa.2024.128107

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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",

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

language = "English",

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T1 - Lifespan estimates for 1d damped wave equation with zero moment initial data

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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DO - 10.1016/j.jmaa.2024.128107

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VL - 535

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

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ER -

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

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