Bifurcation Theory (Summer Semester 2017)
- Lecturer: PD Dr. Rainer Mandel
- Classes: Lecture (0102000), Problem class (0102010)
- Weekly hours: 2+2
This lecture is intended to give an introduction to bifurcation theory with applications in ordinary and partial differential equations. It is suitable for students with knowledge covered by one of the lectures Functional analysis or Boundary and Eigenvalue Problems or similar advanced courses in analysis. The course is open to both Bachelor and Master students.
The first lecture is on Tuesday, April 25th.
The first exercise session is on Wednesday, April 26th.
Exercise sheets will appear on a weekly basis, the first one will be handed out on Wednesday, April 26th. The exercise sheet may be returned for correction, but there is no obligation to do so.
| Schedule | ||
|---|---|---|
| Lecture: | Tuesday 15:45-17:15 | SR 3.68 |
| Problem class: | Wednesday 15:45-17:15 | SR 3.69 |
| Lecturers | ||
|---|---|---|
| Lecturer | PD Dr. Rainer Mandel | |
| Office hours: by appointment | ||
| Room -1.019 Kollegiengebäude Mathematik (20.30) | ||
| Email: rainer.mandel@kit.edu | Problem classes | Dr. Janina Gärtner |
| Office hours: Friday 10:00-11:00 and on appointment | ||
| Room 3.038 Kollegiengebäude Mathematik (20.30) | ||
| Email: | Problem classes | Dr. Dominic Scheider |
| Office hours: on appointment | ||
| Room -1.021 Kollegiengebäude Mathematik (20.30) | ||
| Email: dominic.scheider@kit.edu | ||
The content of this lecture is described in my post.
Problem Sheets
Problem Sheet 01
Problem Sheet 02
Problem Sheet 03
Problem Sheet 04
Problem Sheet 05
Problem Sheet 06
Problem Sheet 07
Problem Sheet 08
Problem Sheet 09
Problem Sheet 10
Problem Sheet 11
Problem Sheet 12
Examination
There will be oral exams.
References
- Ambrosetti, Prodi: A Primer on Nonlinear Analysis
- Ambrosetti, Malchiodi: Nonlinear analysis and semilinear elliptic problems
- Chang: Methods in nonlinear analysis
- Deimling: Nonlinear functional analysis (The Dover Books series)
- Kielhöfer: Bifurcation Theory : An Introduction with Applications to Partial Differential Equations
- Evans: Partial differential equations