Semilinear wave equations of derivative type with spatial weights in one space dimension

被引：4

作者：

Kitamura, Shunsuke ^{[1
]}

Morisawa, Katsuaki ^{[2
]}

Takamura, Hiroyuki ^{[3
]}

机构：

[1] Tohoku Univ, Math Inst, Doctor course, Sendai 9808578, Japan

[2] Musashi High Sch & Jr High Sch, 1-26-1 Toyotamakami, Nerima, Tokyo 1768535, Japan

[3] Tohoku Univ, Math Inst, Sendai 9808578, Japan

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2023年 / 72卷

基金：

日本学术振兴会;

关键词：

Semilinear wave equation; One dimension; Classical solution; Lifespan; LIFE-SPAN; CLASSICAL-SOLUTIONS; BLOW-UP; NONLINEAR TERMS;

D O I：

10.1016/j.nonrwa.2022.103764

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the initial value problems for semilinear wave equations of derivative type with spatial weights in one space dimension. The lifespan estimates of classical solutions are quite different from those for nonlinearity of unknown function itself as the global-in-time existence can be established by spatial decay. & COPY; 2022 The Author(s). Published by Elsevier Ltd. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

引用

页数：12

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