Stability of a coefficient inverse problem for the discrete Schrodinger equation and a convergence result
文献类型：期刊论文
| 作者 | Zhao, Zhongliu; Zhang, Wensheng1,2,3 |
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2023-02-01 |
| 卷号 | 518期号:1页码:25 |
| 关键词 | Inverse problem Semi-discrete Schr?dinger equation Discrete Carleman estimate Convergence Stability |
| ISSN号 | 0022-247X |
| DOI | 10.1016/j.jmaa.2022.126665 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000875317100018 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/60725]  |
| 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.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China 2.Hunan Inst Sci & Technol, Dept Math, Yueyang 414006, 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。