论文标题
波动方程的反向移动点源问题
Inverse moving point source problem for the wave equation
论文作者
论文摘要
在本文中，我们考虑了从边界测量值中识别三维波方程的单个移动点源的问题。确切地说，我们表明，在有限的时间间隔内，源在边界的六个不同点产生的场的知识足以确定其轨迹。我们还得出了倒置的Lipschitz稳定性估计。
In this paper, we consider the problem of identifying a single moving point source for a three-dimensional wave equation from boundary measurements. Precisely, we show that the knowledge of the field generated by the source at six different points of the boundary over a finite time interval is sufficient to determine uniquely its trajectory. We also derive a Lipschitz stability estimate for the inversion.
