Webrelaunch 2020

Inverse Probleme (Winter Semester 2016/17)

Lecture: Tuesday 14:00-15:30 SR 3.68 Begin: 18.10.2016
Wednesday 11:30-13:00 SR 3.68
Problem class: Thursday 15:45-17:15 SR 3.61 Begin: 27.10.2016
Lecturer PD Dr. Frank Hettlich
Office hours: Wednesday 10:30am - 12am and on appointment
Room 1.042 Kollegiengebäude Mathematik (20.30)
Email: frank.hettlich@kit.edu
Problem classes Dr. Felix Hagemann
Office hours:
Room 1.049 Kollegiengebäude Mathematik (20.30)
Email: felix.hagemann@kit.edu

Frequently questions in physics, technique or medicine lead to so called inverse problems. In general this means to reconstruct parameter of a given model from measurable data as it occurs for instance in computer tomography. Often these problems consist in seeking solutions of an ill-posed operator equation, i.e. an operator which does not have a bounded inverse.

The lecture will present the mathematical theory of linear ill-posed problems and will illustrated the phanomenon ill-posed by specific examples. We will introduce regularization methods for ill-posed problems as Tikhonov regularization. Furthermore also aspects of non-linear ill-posed problems will be discussed. This will be engross for instance by applications in tomography.


Students in the mathematical programs as of the 5th semester as well as interested students from physics or engineering siences. Necessary knowledge from functional analysis will be presented depending on the audience.

Problem sheets

The problem sheets and additional material will be posted on the Ilias homepage ... of the lecture.


  • H. Engel, M. Hanke and A. Neubauer, Regularization of Inverse Problems, Kluwer Academic Publishers Group, Dordrecht, 1996.
  • A. Kirsch, An Introduction to the Mathematical Theory of Inverse Problems (2nd ed.), Springer-Verlag, New York, 2011.
  • R. Kress, Linear Integral Equations (2nd ed), Springer-Verlag, New York, 1999.
  • A. Rieder, Keine Probleme mit inversen Problemen, F. Vieweg & Sohn, Braunschweig, 2003.