DE

Modul

Introduction to Microlocal Analysis [M-MATH-105838]

Credits
3
Recurrence
Unregelmäßig
Duration
1 Semester
Language
English
Level
4
Version
1

Responsible

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

  1. Pseudo-differential operators
  2. Symbolic calculus
  3. Wavefront set
  4. Propagation of singularities
  5. 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