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

被引：20

作者：

Kitamura, Shunsuke ^{[1
]}

Morisawa, Katsuaki ^{[1
]}

Takamura, Hiroyuki ^{[2
]}

机构：

[1] Tohoku Univ, Math Inst, Master Course, Aoba Ku, Sendai, Miyagi 9808578, Japan

[2] Tohoku Univ, Res Alliance Ctr Math Sci, Math Inst, Aoba Ku, Sendai, Miyagi 9808578, Japan

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2022年 / 307卷

基金：

日本学术振兴会;

关键词：

Semilinear wave equation; One dimension; Classical solution; Lifespan; BLOW-UP; NONLINEAR TERMS;

D O I：

10.1016/j.jde.2021.10.062

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (c) 2021 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

引用

页码：486 / 516

页数：31

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