Abstract:

The uniqueness of Calderón problem has been left open for 15 years. This problem is to show that if we are given two pairs of bounded smooth Lame moduli   in a domain  with smooth boundary  and we have  for the Dirichlet to Neumann map  associated to  satisfying the strong convexity condition, then . The difficulty of problem comes from the existence of two metrics ,  in the 3D isotropic elasticity system of equations associated to  for each . It is still very hard to prove the uniqueness. Hence in this talk I will aim to show some generic uniqueness to the problem. Here the generic uniqueness means that there is a dense subset of the space in which  belongs where we can have the uniqueness.