Determining a magnetic Schroedinger operator from partial Cauchy data

In this paper we show, in dimension n >= 3, that knowledge of the Cauchy data for the Schrodinger equation in the presence of a magnetic potential, measured on possibly very small subsets of the boundary, determines uniquely the magnetic field and the electric potential. We follow the general strategy of [7] using a richer set of solutions to the Dirichlet problem that has been used in previous works on this problem.