Stability Estimates in Determining Robin Coefficients for Biharmonic Inverse Problem

期刊论文
发表日期：

2025年3月17日

查看全文

Abdelhak Hadj

摘要

We rely on the Carleman estimate and some functional analysis tools to establish a stability result with a logarithmic estimate for an inverse problem governed by the biharmonic equation in a smooth 2D domain $\Omega $ $Ω$ . The inverse problem under consideration consists of recovering Robin’s coefficients on a part $\Gamma $ $Γ$ of the boundary from a single boundary measurement on the remaining part $\gamma $ $γ$ of that boundary. Such inverse problems are usually motivated by the detection of specified functions in beam deflection. The stability result is supported by a numerical example.