|
|||||
|
|
Stability estimate for an inverse boundary coefficient problem in thermal imaging |
|
| Authors: | Mourad Bellassoued Mourad Choulli |
| Affiliation: | a Département de Mathématiques, Université des Sciences de Bizerte, 7021 Jarzouna Bizerte, Tunisia b School of Mathematical Sciences, Fudan University, Shanghai 200433, China c Laboratoire LMAM, UMR 7122, Université Paul Verlaine-Metz et CNRS, Ile du Saulcy, 57045 Metz cedex, France |
| Abstract: | 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. |
| Keywords: | Inverse boundary coefficient problem Robin boundary condition Logarithmic stability estimate Thermal imaging Heat equation |
| 本文献已被 ScienceDirect 等数据库收录！ | |