Global existence and blow-up for semilinear damped wave equations in three space dimensions

被引：17
|
作者：
Kato, Masakazu [1 ]
Sakuraba, Miku [2 ]
机构：
[1] Muroran Inst Technol, 27-1 Mizumoto Cho, Muroran, Hokkaido 0508585, Japan
[2] Sapporo Hokuto High Sch, Higashi Ku, 1-10 Kita 15,Higashi 2, Sapporo, Hokkaido 0650015, Japan
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2019年 / 182卷
关键词：
Semilinear damped wave equation; Blow-up; Lifespan; Three space dimensions; LIFE-SPAN;
D O I：
10.1016/j.na.2018.12.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider initial value problem for semilinear damped wave equations in three space dimensions. We show the small data global existence for the problem without the spherically symmetric assumption and obtain the sharp lifespan of the solutions. This paper is devoted to a proof of the Takamura's conjecture in D'Abbicco et al. (2015) on the lifespan of solutions. (C) 2018 Elsevier Ltd. All rights reserved.
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页码：209 / 225
页数：17
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