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Introduction to microlocal analysis (Wintersemester 2021/22)

  • Dozent*in: Dr. Ruoci Sun
  • Veranstaltungen: Vorlesung (0106700)
  • Semesterwochenstunden: 2

This course is an introduction to microlocal analysis. I will introduce the main notions about the pseudo-differential operators, symbolic calculus, the wave front set, and the microlocal defect measures and describe some of the main results, such as continuity, Garding inequalities, and propagation of singularities. The course will be taught in English.

Contents:
1.Pseudo-differential operators
2.Symbolic calculus
3.Applications to hyperbolic equations
4.Wave front sets
5.Propagation of singularities
6.Microlocal defective measures

Prerequisite: Functional analysis, in particular the distribution theory, Fourier transform in the Schwartz class and tempered distributions and Sobolev spaces

Termine
Vorlesung: Donnerstag 8:00-9:30 20.30 SR 3.61
Lehrende
Dozent Dr. Ruoci Sun
Sprechstunde: Nach Vereinbarung
Zimmer -1.018 Kollegiengebäude Mathematik (20.30)
Email: ruoci.sun@kit.edu