Project Details
Projekt
Inverse problems for genuinely nonlocal elliptic operators: uniqueness, stability and reconstruction (C01)
Subject Area
Mathematics
Term
since 2025
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 539309657
The main objective of this project is to explore nonlocality as a novel perspective on and tool for the analysis of fundamental questions on classical elliptic inverse problems such as the Calderón problem. To this end, we pursue a three-tiered research agenda: Firstly, we plan to rigorously connect the nonlocal and the local Calderón problems. Secondly, we will address the fractional analogue of the Brown-Uhlmann conjecture on critical thresholds between uniqueness and non-uniqueness. Thirdly, we seek to push beyond the setting of nonlocal model operators such as the fractional Laplacian and to identify classes of `genuinely nonlocal elliptic operators ‘.
DFG Programme
Collaborative Research Centres
Applicant Institution
Rheinische Friedrich-Wilhelms-Universität Bonn
Project Head
Professorin Dr. Angkana Rüland, since 7/2025
