R202, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 202室)
Inversion at the boundary for dynamical elastic equation
Gen Nakamura (Inha University)
In this talk we will discuss about the so called boundary determination problem for dynamical elastic equations. This problem asks about identifying the density, elasticity tensor of an elastic medium as well as their derivatives at the boundary of medium. When the elastic tensor is isotropic, the uniqueness was given by L. Rachele in her very bulky paper: Comm. PDE,, 25, 2000, pp. 1951-1996 which has 45 pages. Since then it has been left open to give an inversion. We will give an inversion for the isotropic elastic equation and a near boundary surface layer stripping algorithm to identify the density and elasticity tensor as well as their derivatives. Our inversion is quite powerful and general which can be applied even to the case elastic tensor is anisotropic.
