The project is on inverse coefficient problems in connection with applied analysis and PDEs. In particular reconstructing an interior conductivity coefficient in Calderón's inverse problem, based on boundary electrical measurements in the form of a Neumann-to-Dirichlet mapping. A related problem is to determine the support of unknown conductivity-perturbations using e.g. monotonicity and localization for quadratic forms.

A special focus of the project is on the open problems associated with the combination of complex coefficients and partial boundary measurements, and methods based on e.g. functional calculus.

Sapere Aude (10.46540/3120-00003B) from Independent Research Fund Denmark | Natural Sciences

The project runs from 01.09.2024 until 31.08.2028.