Logarithmic type stability for the simultaneous identification of Robin coefficient and heat flux in an elliptic equation

被引：0
|
作者：
Chen, De-Han [1 ,2 ]
Cheng, Ting [1 ,2 ]
Jiang, Daijun [1 ,3 ]
机构：
[1] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China
[2] Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Peoples R China
[3] Cent China Normal Univ, Key Lab NAA, MOE, Wuhan 430079, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2024年 / 156卷
基金：
中国国家自然科学基金;
关键词：
Inverse problem; Logarithmic type stability; Elliptic equation; Simultaneous identification; NUMERICAL ESTIMATION;
D O I：
10.1016/j.aml.2024.109148
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we aim to reconstruct the unknown Robin coefficient and unknown heat flux simultaneously in an elliptic system from Cauchy data on arbitrarily small portion of accessible boundary. A novel logarithmic type stability in terms of the negative Sobolev norms is established.
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页数：5
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