The lifespan estimates of classical solutions of one dimensional semilinear wave equations with characteristic weights

被引：1

作者：

Kitamura, Shunsuke ^{[1
]}

Takamura, Hiroyuki ^{[1
]}

Wakasa, Kyouhei ^{[2
]}

机构：

[1] Tohoku Univ, Math Inst, Aoba, Sendai 9808578, Japan

[2] Kushiro Coll, Natl Inst Technol, Dept Creat Engn, 2-32-1 Otanoshike Nishi, Kushiro, Hokkaido 0840916, Japan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 528卷 / 02期

基金：

日本学术振兴会;

关键词：

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

D O I：

10.1016/j.jmaa.2023.127516

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the lifespan estimates of classical solutions for semilinear wave equations with characteristic weights and compactly supported data in one space dimension. The results include those for weights by time-variable, but exclude those for weights by space-variable in some cases. We have interactions of two characteristic directions.& COPY; 2023 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/).

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页数：46

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