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401-3004-00L 12 Credits

Partial Differential Equations

Partielle Differentialgleichungen

Lecturers & Examiners: Prof. Dr. Erich Walter Farkas
VVZ CR n/a

Last Updated: 2026-02-05 15:09:58

Abstract

The following topics are treated:-Laplace equation (mean value property, harmonic functions, Green function)-heat equation (properties of the solution, energy methods)-wave equation-Sobolev spaces (weak derivatives, extensions, traces)-second order elliptic differential equations (existence of weak solutions)

Objective

In the lecture some results form the classical theory of pde are presented. The following topics are treated: -Laplace equation (mean value property, harmonic functions, Green function) -heat equation (properties of the solution, energy methods) -wave equation -Sobolev spaces (weak derivatives, extensions, traces) -second order elliptic differential equations (existence of weak solutions)

Content

-Laplace equation (mean value property, harmonic functions, Green function) -heat equation (properties of the solution, energy methods) -wave equation -Sobolev spaces (weak derivatives, extensions, traces) -second order elliptic differential equations (existence of weak solutions)

Resources

Literature

-Lawrence Evans: "Partial Differential Equations", ISBN 0-8218-0772-2 -Niels Jacob: "Lineare partielle Differentialgleichungen", Akademie Verlag Berlin, ISBN 3-05-501681-5

General Information

Language
German
Frequency
Yearly recurring

Examination

Type
session examination
Mode
oral 30 minutes

Course Components

Type Title Time & Place Hours
lecture Partielle Differentialgleichungen
  • Mon 10:15-12:00 (HG E 1.2)
  • Fri 10:15-12:00 (HG D 7.2)
4 h weekly
exercise Partielle Differentialgleichungen
  • Thu 15:15-17:00 (HG F 26.3)
  • Thu 16:15-18:00 (HG D 5.2)
  • 18.05 Date 16:15-18:00 (HG D 5.1)
2 h weekly

Offered In