论文标题
点源和稳定性的逆问题的稳定性PDE具有空间和时间依赖的系数
Point sources and stability for an inverse problem for a hyperbolic PDE with space and time dependent coefficients
论文作者
论文摘要
我们研究稳定性方面，以确定波动源的三个空间维度，并与时间依赖的空间相关的下阶扰动。这里考虑的问题是正式确定的，我们为这些问题建立了Lipschitz稳定性结果。我们分析中的主要工具是基于Carleman估计的Bukgheim-Klibanov方法的修改版本。
We study stability aspects for the determination of space and time-dependent lower order perturbations of the wave operator in three space dimensions with point sources. The problems under consideration here are formally determined and we establish Lipschitz stability results for these problems. The main tool in our analysis is a modified version of Bukgheim-Klibanov method based on Carleman estimates.
