Boundary determination of the Lam�� moduli for the isotropic elasticity system

We consider the inverse boundary value problem of determining the Lam�� moduli of an isotropic, static elasticity equations of system at the boundary from the localized Dirichlet-to-Neumann map. Assuming appropriate local regularity assumptions as weak as possible on the Lam�� moduli and on the boundary, we give explicit pointwise reconstruction formulae of the Lam�� moduli and their higher order derivatives at the boundary from the localized Dirichlet-to-Neumann map.
24 pages