Angkana Rüland: Introduction to Microlocal Analysis

  • Lecturer: Angkana Rüland
  • Date: Thursday 11:15 - 12:45
  • Room: Leipzig University, Seminargebäude, room SG-311
  • Language: English
  • Target audience: MSc students, PhD students, Postdocs
  • Keywords: distribution theory, oscillatory integrals, method of stationary phase, pseudodifferential operators, elliptic regularity theory
  • Prerequisites: basic PDE theory, functional analysis and basic Fourier analysis

Abstract

This lecture is an introduction to basic ideas and tools of microlocal analysis. Central topics will include

  • basic distribution theory, distributional Fourier analysis,
  • the definition of oscillatory integrals and the method of stationary phase,
  • pseudodifferential operators,
  • elliptic regularity theory through pseudodifferential calculus.

If time permits, we will also deal with the propagation of singularities.

Regular Lectures (Summer 2019)

07.05.2019, 09:16