Introduction to Microlocal Analysis

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.

Date and time info
Thursday 11:15 - 12:45

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

Audience
MSc students, PhD students, Postdocs

Language
English