Rigidity and Flexibility in PDEs

Head:
Angkana Rüland (Email)

Phone:
+49 (0) 341 - 9959 - 953

Fax:
+49 (0) 341 - 9959 - 585

Address:
Inselstr. 22
04103 Leipzig

Summerterm 2019

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.

Other lectures at MPI MIS

Please follow this link for other regular lectures at the Max-Planck-Institute.

28.03.2019, 10:46