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Increasing stability for the inverse source problem in electromagnetic waves with conductivity

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成果类型:
期刊论文
作者:
Yuan, Ganghua;Zhao, Yue
通讯作者:
Zhao, Y
作者机构:
[Yuan, Ganghua] Northeast Normal Univ, Sch Math & Stat, KLAS, Changchun 130024, Jilin, Peoples R China.
[Zhao, Yue; Zhao, Y] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
通讯机构:
[Zhao, Y ] C
Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
语种:
英文
关键词:
Conductivity;Increasing stability;Inverse source problem;Maxwell equations
期刊:
Applied Mathematics Letters
ISSN:
0893-9659
年:
2023
卷:
144
页码:
108722
基金类别:
The research of GY was supported in part by NSFC (No. 11771074 ) and National Key R&D Program of China (No. 2020YFA0714102 and No. 2021YFA1003400 ). The research of YZ is supported in part by NSFC (No. 12001222 ) and Hubei Provincial Science and Technology Innovation Base (Platform) Special Project 2020DFH002 .
机构署名:
本校为通讯机构
院系归属:
数学与统计学学院
摘要:
In this paper, we show the stability of the inverse source problem for the Maxwell equations with conductivity. The tangential components of the electric and magnetic fields on the boundary at multiple frequencies are required as the data for the analysis. The stability estimate consists of the Lipschitz type data discrepancy and the high frequency tail of the source function, where the latter decreases as the upper bound of the frequency increases. The explicit dependence of the stability estimate on the constant conductivity is derived. The a...

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