弹性动力学中刚性散射体的稳定确定
Stable determination of a rigid scatterer in elastodynamics
AI总结：
针对时谐情形下刚性散射体形状确定的弹性逆散射问题，证明了单次远场测量下的log log型局部稳定性估计，且散射体接近度的先验条件可由Friedrichs不等式的通用常数估计，为该类逆问题的稳定求解提供理论支撑。
摘要：
我们研究时谐情形下用于确定刚性散射体形状的弹性逆散射问题。证明了通过单次远场测量识别散射体的log log型局部稳定性估计。散射体接近度所需的先验条件由Friedrichs不等式中出现的通用常数来估计。
英文摘要：
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.
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