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Workgroup Applied Analysis

Secretariat
Kollegiengebäude Mathematik (20.30)
Room 2.029

Address
Englerstrasse 2
76131 Karlsruhe
Germany

Dr. Kaori Nagato-Plum
kaori.nagatou@kit.edu




Office hours:
Mon - Fri 10:00 -- 12:00

Tel.: +49 721 608 42056

Fax.: +49 721 608 46214

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