On Stability Estimate for a Backward Heat Transfer Problem
On Stability Estimate for a Backward Heat Transfer Problem
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DOI：
10.1142/9789812704924_0012
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发表时间：
2003-04
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影响因子：
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通讯作者：
Jijun Liu
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作者：
Jijun Liu
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The author considers an inverse problem for 1-D heat transfer problem with variable coefficients and the Robin boundary. Our aim is to determine the initial temperature distribution from the noisy data measured at some final time. We establish a stability estimate and the uniqueness for this inverse problem, under a-prior knowledge for the solution. Furthermore, a regularization scheme, as well as the convergence rate, is proposed based on this stability result.