Partial Differential Equations (Winter Semester 2013/14)
- Lecturer: Prof. Dr. Tobias Lamm
- Classes: Lecture (0105300), Problem class (0105310)
- Weekly hours: 4+2
- Audience: Mathematics (from 5. semester)
| Schedule | |||
|---|---|---|---|
| Lecture: | Thursday 9:45-11:15 | Tulla-Hörsaal | Begin: 24.10.2013, End: 14.2.2014 |
| Friday 8:00-9:30 | Engesser-Hörsaal (HS 93) | ||
| Problem class: | Wednesday 14:00-15:30 | Redtenbacher Hörsaal | Begin: 30.10.2013, End: 12.2.2014 |
| Lecturers | ||
|---|---|---|
| Lecturer | Prof. Dr. Tobias Lamm | |
| Office hours: | ||
| Room 2.040 Kollegiengebäude Mathematik (20.30) | ||
| Email: tobias.lamm@kit.edu | Problem classes | Dr. Patrick Breuning |
| Office hours: Dienstag, 10:30 Uhr - 12:00 Uhr | ||
| Room 3B-06 Allianz-Gebäude (05.20) | ||
| Email: patrick.breuning@kit.edu | ||
Exercise Sheets
Exercise Sheet 1
Exercise Sheet 2
Exercise Sheet 3
Exercise Sheet 4
Exercise Sheet 5
Exercise Sheet 6
Exercise Sheet 7
Exercise Sheet 8
Exercise Sheet 9
Exercise Sheet 10
Exercise Sheet 11
Exercise Sheet 12
Exercise Sheet 13
Exercise Sheet 14
In this introductory lecture to the theory of Partial Differential Equations we start by studying the three model equations:
- the Laplace equation
- the heat equation
- the wave equation
in a classical setting. Once this is done we show the existence and regularity of weak solutions of more general elliptic PDE's in Sobolev spaces.
Examination
The written Final Exam has been cancelled due to the lack of interest. We will only have oral exams. Please contact Prof. Dr. Lamm via e-mail in order to make an appointment for the exam.
References
- Evans, L.C.: Partial Differential Equations
- Giaquinta, M. / Martinazzi, L.: An introduction to the regularity theory for elliptic systems, harmonic maps and minimal graphs
- Gilbarg, D. / Trudinger, N.: Elliptic Partial Differential Equations of second order
- Han, Q.: A basic course in Partial Differential Equations
- Han, Q. / Lin, F.: Elliptic Partial Differential Equations
- Jost, J.: Partial Differential Equations