论文标题
稳定确定弹性动力学中的刚性散射器
Stable determination of a rigid scatterer in elastodynamics
论文作者
论文摘要
我们处理一个反弹性散射问题,以确定时间谐波状态中刚性散射器的形状。我们证明了对数日志类型的局部稳定性估计,用于通过单个远场测量值鉴定散射器。所需的先验条件是通过弗里德里奇不平等中出现的通用常数来估计散点子的接近度。
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.