Topics in dispersive PDE
MATH-659 / 2 credits
Teacher: Krieger Joachim
Language: English
Remark: Postponed until further notice
Frequency
Only this year
Summary
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.
Content
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
notes.
Learning Prerequisites
Required courses
Analysis I - IV, intro to PDE, functional analysis Iï€
Recommended courses
Differential geometryï€
Learning Outcomes
By the end of the course, the student must be able to:
- Define advanced developments in the theory of dispersive PDE
In the programs
- Exam form: Oral presentation (session free)
- Subject examined: Topics in dispersive PDE
- Courses: 22 Hour(s)
- TP: 12 Hour(s)
- Type: optional