SIAM Journal on Mathematical Analysis, Volume 53, Issue 2, Page 2660-2689, January 2021.
We deal with an inverse elastic scattering problem for the shape determination of a rigid scatterer in the time-harmonic regime. We prove a local stability estimate of $log\,log$ type for the identification of a scatterer by a single far-field measurement. The needed a priori condition on the closeness of the scatterers is estimated by the universal constant appearing in the Friedrichs inequality.

中文翻译：

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弹性动力学中刚性散射体的稳定测定

SIAM数学分析杂志，第53卷，第2期，第2660-2689页，2021年1月。
我们处理逆弹性散射问题，用于确定时谐状态下的刚性散射体的形状。我们通过一次远场测量证明了用于识别散射体的$ log \，log $类型的局部稳定性估计。通过出现在Friedrichs不等式中的普适常数来估计所需的散射体接近性先验条件。