Stability of a coefficient inverse problem for the discrete Schrodinger equation and a convergence result

doi:10.1016/j.jmaa.2022.126665

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	Stability of a coefficient inverse problem for the discrete Schrodinger equation and a convergence result
	Zhao, Zhongliu ; Zhang, Wensheng 1,2,3
	2023-02-01
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	518 期号:1 页码:25
摘要	In this paper, we prove the stability and convergence of a coefficient inverse problem for the semi-discrete Schrodinger equation by means of an appropriate Carleman estimate. First, we establish a new discrete Carleman estimate for the semi-discrete Schrodinger equation discretized by finite differences. Then by the developed Carleman estimate, we prove the stability of the semi-discrete Schrodinger equation. The consistency between the semi-discrete inverse problem and the continuous one is also proved. With the consistency and stability, the convergence of the semi-discrete inverse problem can be obtained based on the Lax equivalence theorem. (c) 2022 Elsevier Inc. All rights reserved.
关键词	Inverse problem Semi-discrete Schr?dinger equation Discrete Carleman estimate Convergence Stability
DOI	10.1016/j.jmaa.2022.126665
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11471328] ; National Natural Science Foundation of China[51739007] ; Scientific Research of China Hunan Provincial Department of Education[20C0905] ; Scientific Research of China Hunan Provincial Department of Education[20A217]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000875317100018
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/60726
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Wensheng
作者单位	1.Hunan Inst Sci & Technol, Dept Math, Yueyang 414006, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Zhao, Zhongliu,Zhang, Wensheng. Stability of a coefficient inverse problem for the discrete Schrodinger equation and a convergence result[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2023,518(1):25.
APA	Zhao, Zhongliu,&Zhang, Wensheng.(2023).Stability of a coefficient inverse problem for the discrete Schrodinger equation and a convergence result.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,518(1),25.
MLA	Zhao, Zhongliu,et al."Stability of a coefficient inverse problem for the discrete Schrodinger equation and a convergence result".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 518.1(2023):25.