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Finite time blowup for Klein-Gordon-Schrodinger system
Shi, Qihong1; Zhang, Xiao-Bing1; Wang, Changyou2; Wang, Shu3
刊名MATHEMATICAL METHODS IN THE APPLIED SCIENCES
2019-07-30
卷号42期号:11页码:3929-3941
关键词blowup results KGS system negative energy virial identity
ISSN号0170-4214
DOI10.1002/mma.5621
英文摘要We investigate the blowup solutions to the Klein-Gordon-Schrodinger (KGS) system with power nonlinearity in spatial dimensions RN (N >= 2). Relying on a Lyapunov functional, we establish a perturbed virial-type identity and prove the existence of blowup solutions for the system with a negative energy and small mass. Moreover, we obtain a new finite-time blowup result of solutions to KGS system in the energy space by constructing a differential inequality.
WOS研究方向Mathematics
语种英语
出版者WILEY
WOS记录号WOS:000471708800010
内容类型期刊论文
源URL[http://119.78.100.223/handle/2XXMBERH/31703]  
专题理学院
作者单位1.Lanzhou Univ Technol, Sch Math, Lanzhou 730050, Gansu, Peoples R China;
2.Chengdu Univ Informat Technol, Coll Appl Math, Chengdu 610103, Sichuan, Peoples R China;
3.Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
推荐引用方式
GB/T 7714
Shi, Qihong,Zhang, Xiao-Bing,Wang, Changyou,et al. Finite time blowup for Klein-Gordon-Schrodinger system[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2019,42(11):3929-3941.
APA Shi, Qihong,Zhang, Xiao-Bing,Wang, Changyou,&Wang, Shu.(2019).Finite time blowup for Klein-Gordon-Schrodinger system.MATHEMATICAL METHODS IN THE APPLIED SCIENCES,42(11),3929-3941.
MLA Shi, Qihong,et al."Finite time blowup for Klein-Gordon-Schrodinger system".MATHEMATICAL METHODS IN THE APPLIED SCIENCES 42.11(2019):3929-3941.
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