Articles


Document Type
Journal article (JA)
Title
Lifespan of solutions to semilinear damping wave equations in de Sitter spacetime
Author
Li, Hengyan (1); Li, Xintao (2); Yan, Weiping (2)
作者单位
(1) School of Mathematics and Information Sciences, North China University of Water Resources and Electric Power, Zhengzhou; 450011, China (2) College of Mathematics, Xiamen University, Xiamen; 361000, China
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Journal
Nonlinear Analysis, Theory, Methods and Applications
Publisher
Elsevier Ltd
ISSN
0362-546X
Published
2020-06, 195 ():.
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Keywords
Damping; Initial value problems
Abstract
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. ? 2019 Elsevier Ltd
WOS Categories
Accession Number
EI收录号
20200107972044
DOI
10.1016/j.na.2019.111735
ESI_Type
MATHEMATICS
Collection
EI

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