In this paper, we investigate an inverse problem of determining the four spatially varying elastic coefficients of Biot’s system simultaneously, i.e., the two Lamé parameters, the dilatational coupling factor and the bulk modulus, by a single measurement of data on a neighbourhood of the boundary. Following the idea of the B-K method, we prove the Hölder stability estimate of this inverse problem based on Carleman estimates.

中文翻译：

---

孔隙弹性介质中Biot系统弹性系数的Hölder稳定性

在本文中，我们研究了一个反问题，即通过对边界附近的数据进行一次测量来同时确定Biot系统的四个空间变化的弹性系数，即两个Lamé参数（膨胀耦合系数和体积模量） 。遵循BK方法的思想，我们基于Carleman估计证明了该反问题的Hölder稳定性估计。