Introduction to Inverse Problems

Prof. Dr. Arnd Rösch

Abstract

Parameter identification problems and other inverse problems have enormous practical importance. However, inverse problems are also characterized by very specific mathematical properties. The most important property is that inverse problems are typically ill-posed. This ill-posed character of inverse problems is often caused by compactness properties of solution operators for differential and integral equations. Regularization methods help to overcome the ill-posedness effects.

In the lecture we will focus on the following aspects:
- Ill-posedness
- Analysis for linear and nonlinear inverse problems in Hilbert spaces
- Regularization methods, source conditions and convergence results

Date and Place

• 25.06.2013: 08:30 - 12:00, TUM MI 02.08.020
• 26.06.2013: 08:30 - 12:00, TUM MW 2501 (Gebäude für Maschinenwesen)
• 27.06.2013: 08:30 - 12:00, TUM MW 2501 (Gebäude für Maschinenwesen)