DE

Modul

Sobolev Spaces [M-MATH-102926]

Credits
8
Recurrence
Unregelmäßig
Duration
1 Semester
Language
German/English
Level
4
Version
2

Responsible

Organisation

  • KIT-Fakultät für Mathematik

Part of

Bricks

Identifier Name LP
T-MATH-105896 Sobolev Spaces 8

Competence Certificate

The module will be completed by an oral exam (ca. 30 min).

Competence Goal

Students can explain the significance of Sobolev spaces in the theory of partial differential equations.They are able to reproduce and prove the most important properties.

Prerequisites

None

Content

Definition of Sobolev spaces for functions on Lipschitz domains, density, continuation and trace theorems, compact embeddings, Helmholtz decomposition, simple applications to partial differential equations.

Recommendation

The contents of the module "Functional Analysis"  are strongly recommended.

Workload

Total workload: 240 hours

Attendance: 90 h

  • lectures, problem classes and examination

Self studies: 150 h

  • follow-up and deepening of the course content,
  • work on problem sheets,
  • literature study and internet research on the course content,
  • preparation for the module examination