May 7, 2025
Nonlocality and anisotropy in inverse problems
Mathematics Colloquium
Date: May 7, 2025 |
3:30 pm –
4:30 pm
Speaker:
Angkana Rüland, University of Bonn
Location: Raiffeisen Lecture Hall, Central Building
Language:
English
In inverse problems one seeks to reconstruct information from indirect measurements. As a consequence, such problems are often notoriously ill-posed, e.g., with severe instability properties. A prototypical example is the Calderon problem in which one seeks to reconstruct an unknown conductivity from indirect measurements of voltages and currents at the surface of a conducting medium. In this talk I will discuss a relation between the Calderon problem and its nonlocal counterpart, the fractional Calderon problem, and will show how in the nonlocal framework even anisotropic settings can be investigated.
