英文论文


文献类型
Journal article (JA)
题名
Lifespan of solutions to semilinear damping wave equations in de Sitter spacetime
作者
Li, Hengyan; Li, Xintao; Yan, Weiping
作者单位
[Li, Hengyan] North China Univ Water Resources & Elect Power, Sch Math & Informat Sci, Zhengzhou 450011, Peoples R China. [Li, Xintao; Yan, Weiping] Xiamen Univ, Coll Math, Xiamen 361000, Peoples R China.
通讯作者地址
Xiamen Univ, Coll Math, Xiamen 361000, Peoples R China.
Email
hengyanli989@126.com; xintaolee@163.com; yan8441@126.com
ResearchID
ORCID
期刊名称
Nonlinear Analysis, Theory, Methods and Applications
出版社
Elsevier Ltd
ISSN
0362-546X
出版信息
2020-06, 195 ():-.
JCR
2
影响因子
2.064
ISBN
基金
NSFCNational Natural Science Foundation of China (NSFC) [11771359]; Fundamental Research Funds for the Central UniversitiesFundamental Research Funds for the Central Universities [20720190070, 201709000061, 20720180009]
会议名称
会议地点
会议开始日期
会议结束日期
关键词
Damping; Initial value problems
摘要
This paper studies blowup phenomena for two kind of initial value problem of semilinear damping wave equations in de Sitter spacetime. The first problem comes from the latter problem of conjecture of Strauss in de Sitter Spacetime, and the second problem arises from the latter problem of conjecture of Glassey in de Sitter Spacetime. We give blowup and lifespan of solutions on those two problems. Comparing with non-damping case established in Yan (2018), one can see that the damping term with a positive bounded time-dependent coefficient does not effect blowup of solutions. Meanwhile, we establish a new ODE blowup result concerning damping term. (C) 2019 Elsevier Ltd. All rights reserved.
一级学科
Mathematics, Applied; Mathematics
WOS入藏号
WOS:000522150400023
EI收录号
20200107972044
DOI
10.1016/j.na.2019.111735
ESI
MATHEMATICS
收录于
SCIE, EI

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