The Calderón Problem for Local and Nonlocal Schrödinger Equations

These notes are based on the talk with the same title given at the RSME Biennial Conference in 2022, based in turn on joint works with Giovanni Covi, Angkana Rüland and Wiktoria Zatoń [7, 9]. In them, we survey some results about uniqueness and stability of inverse problems associated with certain local and nonlocal Schrödinger operators. These results are characterized by the exploitation of Runge approximation results and unique continuation properties for the corresponding equations.