Nonrelativistic approximation in the energy space for KGS system

doi:10.1016/j.jmaa.2018.02.039

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	Nonrelativistic approximation in the energy space for KGS system
	Shi, Qihong 1,2; Wang, Shu 3
刊名	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
	2018-06-15
卷号	462 期号:2 页码:1242-1253
关键词	KGS system Nonrelativistic limit Uniqueness Energy convergence
ISSN号	0022-247X
DOI	10.1016/j.jmaa.2018.02.039
英文摘要	In this paper we study the nonrelativistic limit of the Cauchy problem for the damped and the conserved Klein-Gordon-Schrodinger (KGS) system, respectively. We prove that any finite energy solution to the damped KGS system converges to the one of Yukawa-Schrodinger (YS) system in the energy space H-1 circle plus H-1, and the solution to the conserved system goes to the corresponding one of a nonlinear Schrodinger (NLS) equation as well. (C) 2018 Elsevier Inc. All rights reserved.
资助项目	National Natural Science Foundation of China[11701244]
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000428230000011
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/32600]
专题	理学院
通讯作者	Shi, Qihong
作者单位	1.Lanzhou Univ Technol, Dept Math, Lanzhou 730050, Gansu, Peoples R China 2.State Key Lab Adv Proc & Recycling Nonferrous Met, Lanzhou 730050, Gansu, 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,Wang, Shu. Nonrelativistic approximation in the energy space for KGS system[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2018,462(2):1242-1253.
APA	Shi, Qihong,&Wang, Shu.(2018).Nonrelativistic approximation in the energy space for KGS system.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,462(2),1242-1253.
MLA	Shi, Qihong,et al."Nonrelativistic approximation in the energy space for KGS system".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 462.2(2018):1242-1253.