Recovering the conductivity at the boundary from the Dirichlet to Neumann map: a pointwise result
R. M. Brown · Journal of Inverse and Ill-Posed Problems · 2001
Abstract - A formula is given for recovering the boundary values of the coefficient γ of an elliptic operator, divγ∇, from the Dirichlet to Neumann map. The main point is that one may recover γ without any a priori smoothness assumptions. The formula allows one to recover the value of γ pointwise.