Nonlocality and anisotropy in inverse problems
Mathematics Colloquium
Date
Wednesday, May 7, 2025 15:30 - 16:30
Speaker
Angkana Rüland (University of Bonn)
Location
Raiffeisen Lecture Hall, Central Building
Series
Colloquium
Tags
mathematical_seminar_ics
Host
Robert Seiringer and Matthew Kwan
Contact
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.