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NCTS Seminar on PDE and Analysis
 
14:20 - 15:20, May 19, 2016 (Thursday)
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.



 

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