The lifespan of classical solutions of semilinear wave equations with spatial weights and compactly supported data in one space dimension

Shunsuke Kitamura; Katsuaki Morisawa; Hiroyuki Takamura

doi:10.1016/j.jde.2021.10.062

The lifespan of classical solutions of semilinear wave equations with spatial weights and compactly supported data in one space dimension

Shunsuke Kitamura, Katsuaki Morisawa, Hiroyuki Takamura

SCI - Mathematics

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

6 Citations (Scopus)

Abstract

This paper studies initial value problems for semilinear wave equations with spatial weights in one space dimension. The lifespan estimates of classical solutions for compactly supported data are established in all the cases of polynomial weights. The results are classified into two cases according to the total integral of the initial speed.

Original language	English
Pages (from-to)	486-516
Number of pages	31
Journal	Journal of Differential Equations
Volume	307
DOIs	https://doi.org/10.1016/j.jde.2021.10.062
Publication status	Published - 2022 Jan 15

Keywords

Classical solution
Lifespan
One dimension
Semilinear wave equation

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jde.2021.10.062

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title = "The lifespan of classical solutions of semilinear wave equations with spatial weights and compactly supported data in one space dimension",

abstract = "This paper studies initial value problems for semilinear wave equations with spatial weights in one space dimension. The lifespan estimates of classical solutions for compactly supported data are established in all the cases of polynomial weights. The results are classified into two cases according to the total integral of the initial speed.",

keywords = "Classical solution, Lifespan, One dimension, Semilinear wave equation",

author = "Shunsuke Kitamura and Katsuaki Morisawa and Hiroyuki Takamura",

note = "Funding Information: The third author is partially supported by the Grant-in-Aid for Scientific Research (B) (No. 18H01132 ), Japan Society for the Promotion of Science . All the authors thank to the referee for pointing out many typos. Publisher Copyright: {\textcopyright} 2021 The Author(s)",

year = "2022",

month = jan,

day = "15",

doi = "10.1016/j.jde.2021.10.062",

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pages = "486--516",

journal = "Journal of Differential Equations",

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T1 - The lifespan of classical solutions of semilinear wave equations with spatial weights and compactly supported data in one space dimension

AU - Kitamura, Shunsuke

AU - Morisawa, Katsuaki

AU - Takamura, Hiroyuki

N1 - Funding Information: The third author is partially supported by the Grant-in-Aid for Scientific Research (B) (No. 18H01132 ), Japan Society for the Promotion of Science . All the authors thank to the referee for pointing out many typos. Publisher Copyright: © 2021 The Author(s)

PY - 2022/1/15

Y1 - 2022/1/15

N2 - This paper studies initial value problems for semilinear wave equations with spatial weights in one space dimension. The lifespan estimates of classical solutions for compactly supported data are established in all the cases of polynomial weights. The results are classified into two cases according to the total integral of the initial speed.

AB - This paper studies initial value problems for semilinear wave equations with spatial weights in one space dimension. The lifespan estimates of classical solutions for compactly supported data are established in all the cases of polynomial weights. The results are classified into two cases according to the total integral of the initial speed.

KW - Classical solution

KW - Lifespan

KW - One dimension

KW - Semilinear wave equation

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DO - 10.1016/j.jde.2021.10.062

M3 - Article

AN - SCOPUS:85119247765

SN - 0022-0396

VL - 307

SP - 486

EP - 516

JO - Journal of Differential Equations

JF - Journal of Differential Equations

ER -

The lifespan of classical solutions of semilinear wave equations with spatial weights and compactly supported data in one space dimension

Abstract

Keywords

ASJC Scopus subject areas

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