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
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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 |
DOI | 10.1002/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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