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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
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
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