Room 201, Astronomy-Mathematics Building, NTU

(台灣大學天文數學館 201室)

Revisit to the uniqueness of Calderon problem for 3D isotropic elasticity

Gen Nakamura (Inha University)

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.