In this paper, we consider the inhomogeneous and anisotropic elastic wave equation on bounded domain. We prove the internal observability, controllability and stabilization of the elastic wave equation under a suitable condition of inhomogeneous and anisotropic medias. The main methods are multiplier methods and compactness-uniqueness arguments.

中文翻译：

---

非均匀各向异性弹性波方程的内部可观测性，可控制性和稳定性

在本文中，我们考虑了有界域上的非均匀各向异性弹性波方程。我们证明了在非均匀和各向异性介质的合适条件下弹性波方程的内部可观测性，可控制性和稳定性。主要方法是乘法器方法和紧致唯一性参数。