On generalized Holmgren's principle to the Lamé operator with applications to inverse elastic problems

Huaian Diao, Hongyu Liu, Li Wang

Consider the Lamé operator $\mathcal{L}(\mathbf{u}):=\mu \Delta \mathbf{u}+(\lambda +\mu )\nabla (\nabla \cdot \mathbf{u})$ that arises in the theory of linear elasticity. This paper studies the…