Lassi Päivärinta
Rolf Nevanlinna Institute, University of Helsinki
Date: March 28, 2006
In many cases two-dimensional inverse problems have turned out to be more difficult then their higher dimensional counterparts. This is specially the case with inverse boundary value problems and with inverse scattering problems with fixed energy. In the talk we recall some open problems in the field as well as demonstrate some recent development. In particular, we will discuss the solution of the two-dimensional Calderón problem, the detection of singularities in Schrödinger scattering and finally consider a 2D inverse problem for random Markov potentials. The research is done jointly with K. Astala, M. Lassas, P.Ola, V. Serov and E. Saksman.