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

De-Han Chen,Ting Cheng,Daijun Jiang

Applied Mathematics Letters（2024）

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Abstract
In this paper, we aim to reconstruct the unknown Robin coefficient and unkown 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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Key words
Inverse problem,Logarithmic type stability,Elliptic equation,Simultaneous identification
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