(In-)Stability in Inverse Problems

In the study of inverse problems one seeks to recover information on an object from indirect measurements. Often these problems thus arise as the inverses of well-posed direct problems from the natural sciences or medicine. As a consequence, in many interesting settings, these problems are notoriously ill-posed. In this talk, I discuss the origins and several mechanisms leading to corresponding instabilities.

This is based on joint work with H. Koch (Bonn) and M. Salo (Jyväskylä).