DE
Modul
Sobolev Spaces [M-MATH-102926]
Credits
8Recurrence
UnregelmäßigDuration
1 SemesterLanguage
German/EnglishLevel
4Version
2Organisation
- 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