MATH-659 / 2 credits

Teacher: Krieger Joachim

Language: English


Only this year


This course assumes familiarity with beginning graduate level real analysis, complex analysis and functional analysis, and also basic harmonic analysis, as well as fundamental concepts from differential geometry.


This course treats some advanced topics in dispersive PDE of recent vintage, such as the soliton resolution phenomenon, the dynamics of
special solutions, such as finite time blow up solutions, or the decoupling phenomenon and applications to local smoothing. The precise
topics will be decided together with the participants. Each participant is expected to deliver an oral presentation accompanied by lecture

Learning Prerequisites

Required courses

Analysis I - IV, intro to PDE, functional analysis I

Recommended courses

Differential geometry

Learning Outcomes

By the end of the course, the student must be able to:

  • Define advanced developments in the theory of dispersive PDE


Moodle Link

In the programs

  • Exam form: Oral presentation (session free)
  • Subject examined: Topics in dispersive PDE
  • Lecture: 22 Hour(s)
  • Practical work: 12 Hour(s)
  • Type: optional

Reference week

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