Inverse Problems for Non-Local Operators

We show global uniqueness for an  inverse problem for the fractional Schroedinger equation from a single measurement: an unknown potential in a bounded domain is uniquely determined by a single exterior measurement of the solution. This can regard as a global uniqueness in partial data problem. This talk is based on recent collaborative works with  Prof. M. Salo , Prof. G. Uhlmann ,  Y. Lin, J. Xiao and A. Ruland.