Webrelaunch 2020

Classical Methods for Partial Differential Equations (Winter Semester 2021/22)

The lecture and the exercise class during the week from November 29th until December 3rd are cancelled.

Schedule
Lecture: Tuesday 10:00-11:30 20.30 1. OG R. 1.66/ 1.67
Thursday 10:00-11:30 20.30 1. OG R. 1.66/ 1.67
Problem class: Wednesday 14:00-15:30 10.91 Redt.
Lecturers
Lecturer, Problem classes Prof. Dr. Tobias Lamm
Office hours:
Room 2.040 Kollegiengebäude Mathematik (20.30)
Email: tobias.lamm@kit.edu
Problem classes Dr. Gianmichele Di Matteo
Office hours:
Room 2.035 Kollegiengebäude Mathematik (20.30)
Email: g.dimatteo@kit.edu

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.

Exercise Sheets

Exercise sheet 1
Solutions to sheet 1
Exercise sheet 2
Exercise sheet 3
Exercise sheet 4
Exercise sheet 5
Exercise sheet 6

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