Stability estimate for an inverse boundary coefficient problem in thermal imaging
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- 作者：Mourad Bellassoued ; Jin Cheng ; Mourad Choulli
- 关键词：Inverse boundary coefficient problem ; Robin boundary condition ; Logarithmic stability estimate ; Thermal imaging ; Heat equation
- 刊名：Journal of Mathematical Analysis and Applications
- 出版年：2008
- 出版时间：1 July 2008
- 年：2008
- 卷：343
- 期：1
- 页码：328-336
- 全文大小：149 K
文摘
We establish a stability estimate for an inverse boundary coefficient problem in thermal imaging. The inverse problem under consideration consists in the determination of a boundary coefficient appearing in a boundary value problem for the heat equation with Robin boundary condition (we note here that the initial condition is assumed to be a priori unknown). Our stability estimate is of logarithmic type and it is essentially based on a logarithmic estimate for a Cauchy problem for the Laplace equation.