Partial Differential Equations II (Boundary- and Eigenvalue-Problems) (Summer Semester 2014)
- Lecturer: Prof. Dr. Tobias Lamm
- Classes: Lecture (0154600), Problem class (0154700)
- Weekly hours: 4+2
- Audience: Mathematics (from 6. semester)
Schedule | |||
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Lecture: | Thursday 8:00-9:30 | 1C-04 | Begin: 17.4.2014, End: 18.7.2014 |
Friday 8:00-9:30 | 1C-04 | ||
Problem class: | Wednesday 14:00-15:30 | Z2 | Begin: 30.4.2014, End: 16.7.2014 |
Lecturers | ||
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Lecturer | Prof. Dr. Tobias Lamm | |
Office hours: | ||
Room 2.040 Kollegiengebäude Mathematik (20.30) | ||
Email: tobias.lamm@kit.edu | Lecturer, 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
In this lecture we continue our study of Elliptic Partial Differential Equations from the winter term and we discuss the following topics
- Calderon-Zygmund theory
- Schauder theory
- DeGiorgi-Nash-Moser theory
- Hardy- and BMO-spaces
- Harmonic maps
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. / Lin, F.: Elliptic Partial Differential Equations
- Hélein, F.: Harmonic maps, conservation laws and moving frames