V5B8 - Selected Topics in Analysis - The vector field method and quasilinear wave equations

Summer Semester 2022

Dr. Dongxiao Yu


Office hours

Tue 14-15, Room 2.005, Endenicher Allee 60. Or by appointment.


In this course we will study the lifespans of solutions to some special types of quasilinear wave equations with small, smooth and localized initial data. Using the so-called ''vector field method'', we will prove several global or almost global existence results for quasilinear wave equations.

The prerequisites include basic real analysis and basic knowledge about partial differential equations.

Here is a tentative schedule.

Notice. There is no class and no office hours on 21.06 and 28.06.

Notice. There is no class on 12.07. Instead I will hold office hours at Room 2.005 at 12-14.


Here are the lecture notes.

The following four books are recommended but not required:

My plan is to follow Chapter I and II in Sogge’s book and use the other three books as complements.


There will be an oral exam at the end of the semester. Further details will be forthcoming.

The exam registration has started on basis. The first exam date is 19.07.2022, and the second exam date is 20.09.2022.

Important links

Basis page

Ecampus page