英文论文
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文献类型
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Journal article (JA)
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题名
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Lifespan of solutions to semilinear damping wave equations in de Sitter spacetime
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作者
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Li, Hengyan; Li, Xintao; Yan, Weiping
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作者单位
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[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.
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通讯作者地址
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Xiamen Univ, Coll Math, Xiamen 361000, Peoples R China.
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Email
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hengyanli989@126.com; xintaolee@163.com; yan8441@126.com
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ResearchID
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ORCID
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期刊名称
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Nonlinear Analysis, Theory, Methods and Applications
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出版社
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Elsevier Ltd
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ISSN
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0362-546X
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出版信息
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2020-06, 195 ():-.
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JCR
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2
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影响因子
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2.064
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ISBN
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基金
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NSFCNational Natural Science Foundation of China (NSFC) [11771359]; Fundamental Research Funds for the Central UniversitiesFundamental Research Funds for the Central Universities [20720190070, 201709000061, 20720180009]
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会议名称
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会议地点
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会议开始日期
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会议结束日期
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关键词
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Damping; Initial value problems
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摘要
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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.
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一级学科
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Mathematics, Applied; Mathematics
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WOS入藏号
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WOS:000522150400023
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EI收录号
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20200107972044
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DOI
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10.1016/j.na.2019.111735
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ESI
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MATHEMATICS
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收录于
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SCIE, EI
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