Integralgleichungen / Integral Equations (Summer Semester 2016)
- Lecturer: PD Dr. Frank Hettlich
- Classes: Lecture (0156900), Problem class (0157000)
- Weekly hours: 4+2
- Audience: Mathematics (6.-10. semester)
This is a class for students of any mathematics programm. Topics include linear integral equations of the second kind and their solution theory, the so-called Riesz-Fredholm theory. Furthermore a topic will be the Fourier transform and convolution equations.
A prerequesite to understand the material of this class are the basic lectures of the Bachelor in Mathematics. Necessary results from functional analysis will be discussed in the lecture. In fact, this class can be seen as an expansion and application of the concepts and methods of functional analysis.
| Schedule | |||
|---|---|---|---|
| Lecture: | Wednesday 8:00-9:30 | SR 2.67 | Begin: 20.4.2016, End: 22.7.2016 |
| Friday 11:30-13:00 | SR 2.67 | ||
| Problem class: | Wednesday 14:00-15:30 | SR 2.59 | Begin: 27.4.2016, End: 20.7.2016 |
| Lecturers | ||
|---|---|---|
| Problem classes | Dr. Janina Stompe | |
| Office hours: | ||
| Room 1.048 Kollegiengebäude Mathematik (20.30) | ||
| Email: janina.stompe@kit.edu | ||
On the content of the lecture
Besides the differential equations also integral equations are important mathematical concepts in physical, technical or medical applications. The formulation of boundary value problems by integral equations are often of theoretical interest (existence and uniqueness of solutions) as well as a basis of efficient numerical solution schemes. The lecture and the exercise session will give an introduction to a functional analytic approach to linear integral equations. We will discuss fundamental typs like Volterra equations, Fredholm equations and convolution equations.
problem session
In the exercise session we will work in small groups on certain problems. The problem sheets and suggestions of solutions to the problems will be offered in the Ilias-System
Skriptum (pdf-Dateien)
Also a lecture note will be available on the Ilias-System.
References
see lecture and/or scriptum