Rigidity and Flexibility in PDEs
Head:
Angkana Rüland (Email)
Phone:
+49 (0) 341 - 9959 - 953
Fax:
+49 (0) 341 - 9959 - 658
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.
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