Uniqueness of weak solution for Chern-Simons-Dirac equations in R1+1

doi:10.1016/j.jmaa.2017.03.066

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	Uniqueness of weak solution for Chern-Simons-Dirac equations in R1+1
	Kuang, Jie 1; Zhang, Chi 2; Zhang, Yongqian 2
	2017-08-15
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	452 期号:2 页码:1298-1309
摘要	We study the uniqueness of weak solution in L-loc(infinity)([0, +infinity); L-2(R-1)) for initial value problem of Chern-Simons-Dirac equations. We first derive the equations for the difference between two weak solutions and establish the existence of the solution to initial value problem to its adjoint system. Then we apply Holmgren's method to prove that the weak solution in L-loc(infinity) ([0, infinity); L-2(R-1)) to initial value problem of Chern-Simons-Dirac equations is unique. (C) 2017 Elsevier Inc. All rights reserved.
关键词	Chern-Simons-Dirac equations Uniqueness Weak solution Holmgren's method
DOI	10.1016/j.jmaa.2017.03.066
语种	英语
资助项目	NSFC[11421061] ; 111 Project (China)[B08018] ; Shanghai Natural Science Foundation[15ZR1403900]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000400224400034
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26078
专题	中国科学院数学与系统科学研究院
通讯作者	Kuang, Jie
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China 2.Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
推荐引用方式 GB/T 7714	Kuang, Jie,Zhang, Chi,Zhang, Yongqian. Uniqueness of weak solution for Chern-Simons-Dirac equations in R1+1[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2017,452(2):1298-1309.
APA	Kuang, Jie,Zhang, Chi,&Zhang, Yongqian.(2017).Uniqueness of weak solution for Chern-Simons-Dirac equations in R1+1.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,452(2),1298-1309.
MLA	Kuang, Jie,et al."Uniqueness of weak solution for Chern-Simons-Dirac equations in R1+1".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 452.2(2017):1298-1309.