In [2] we introduced a method combining together an observability inequality and a spectral decomposition to get a logarithmic stability estimate for the inverse problem of determining both the potential and the damping coefficient in a dissipative wave equation from boundary measurements. The present work deals with an adaptation of that method to obtain a logarithmic stability estimate for the inverse problem of determining a boundary damping coefficient from boundary measurements. As in our preceding work, the different boundary measurements are generated by varying one of the initial conditions.

中文翻译：

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确定波动方程的 IBVP 边界系数的对数稳定性

在 [2] 中，我们介绍了一种将可观测性不等式和谱分解结合在一起的方法，以获得从边界测量确定耗散波动方程中的电位和阻尼系数的逆问题的对数稳定性估计。目前的工作涉及该方法的改编，以获得从边界测量确定边界阻尼系数的逆问题的对数稳定性估计。与我们之前的工作一样，不同的边界测量值是通过改变初始条件之一生成的。