DE
Modul
Introduction to Microlocal Analysis [M-MATH-105838]
Credits
3Recurrence
UnregelmäßigDuration
1 SemesterLanguage
EnglishLevel
4Version
1Responsible
Organisation
- KIT-Fakultät für Mathematik
Part of
Bricks
Identifier | Name | LP |
---|---|---|
T-MATH-111722 | Introduction to Microlocal Analysis | 3 |
Competence Certificate
oral examination of circa 30 minutes
Competence Goal
- Students will become familiar with the notions of Fourier multipliers and pseudo-differential operators
- Students can state major theorems and their relation
- Students will understand the structure of the propagation of singularities by introducing the wave front set and apply them to the domain of partial differential equations, control theory, etc.
Prerequisites
none
Content
- Pseudo-differential operators
- Symbolic calculus
- Wavefront set
- Propagation of singularities
- Microlocal defective measure
Recommendation
The following courses should be studied beforehand: "Classical Methods for Partial Differential Equations" und "Functional Analysis".
Workload
Totel workload: 90 h
Attendance: 30 h
- lectures and examination
Self studies: 60 h
- follow-up and deepening of the course content,
- literature study and internet research on the course content,
- preparation for the module examination