Bachelor/Master Seminar:
The Calderón Problem
SS 2024
| Lecturer: |
Dr. Frank Wübbeling Prof. Dr. Benedikt Wirth |
Information on the seminar
| Time, location: |
to be determined |
| Content: | A classical type of inverse problem is parameter identification in PDEs: More specifically, one tries to identify one or more spatially varying coefficients of the PDE from observations of (parts of) its solution. A particular example is to identify the conductivity coefficient of Laplace's equation from measurements of the solution and its normal derivative on the domain boundary. An application of this problem is electrical impedance tomography. The problem was posed in 1980 by Calderón, and its unique solvability was shown by Uhlmann and Sylvester. This has sparked a lot of development in inverse problems, but also related fields, e.g. in geometry. |
| Prerequisites: | Analysis I-III; a specialization in a module on one of the fields numerics, analysis, geometry will be helpful. |
| Organizational meeting: |
We., 24.01.2024, 16:00-17:00, Orléansring 12, room 120.029/030 (seminar room Applied Mathematics). In case you missed that meeting, but are interested nevertheless, please let us know by e-mail. |
| Learnweb: | Learnweb course |
| Requirements: | Presentation of 60-90 minutes and up to 10 pages handout for your peers (it should be shown to us and discussed with us at least a week before the presentation) |