In this paper, we investigate the inverse problem of determining the potent
ial of the Schrodinger equation from finite measurements on the boundary. I
t is well known that this is an ill posed problem in the sense of Hadamard.
The stability estimate is proved under the assumption that the potentials
have some a priori constraints. Based on this conditional stability result,
we propose one kind of Tikhonov regularization and prove the convergence r
ate for the regularized solution.