The Calderón problem
Prof. Pedro Caro, (Basque Centre for Applied Mathematics)
| Speaker |
Prof. Pedro Caro, (Basque Centre for Applied Mathematics)
|
|---|---|
| When |
Nov 30, 2021
from 04:00 PM to 05:00 PM |
| Where | zoom meet |
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Abstract: The inverse Calderón problem consists of determining the conductivity inside a medium by electrical measurements on its surface. Ideally, these measurements determine the so called Dirichlet-to-Neumann map and, therefore, the problem aims at reconstructing the coefficients of an elliptic equation given this map as data. In the talk, we will focus on the regularity issues, which asks what is the minimal regularity needed for the coefficients in order to solve this problem. We will also mention results with partial data or data that have been corrupted by noisy measurements.