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401-4834-DRL 1 Credits DR D-MATH

Nonlinear Wave Equations with Applications to General Relativity

Lecturers & Examiners: Dr. Christoph Kehle

Only for ETH D-MATH doctoral students and for doctoral students from the Institute of Mathematics at UZH. The latter need to send an email to Jessica Bolsinger ( ) with the course number. The email should have the subject „Graduate course registration (ETH)“.

VVZ CR n/a

Last Updated: 2026-02-05 16:22:19

Abstract

Introduction to linear and nonlinear wave equations, aspects of Lorentzian geometry and the Einstein equations in general relativity.

Objective

In the first part of the course, the basics of linear wave equations on Minkowski space are covered. We then go beyond to nonlinear equations as well as to curved backgrounds. To this end, the relevant background from Lorentzian geometry is introduced. The ultimate goal is to rigorously study dynamics of the Einstein equations of general relativity.

General Information

Language: English
Levels: DR

Examination

Type: ungraded semester performance

Registration & Places

Priority: Registration for the course unit is only possible for the primary target group

Course Components

Type	Title	Time & Place	Hours
lecture	Nonlinear Wave Equations with Applications to General Relativity	Tue 10:15-12:00 (ML J 34.1)	2 h weekly

Offered In

Doctorate Mathematics (More Information at: )
- Subject Specialisation (The list of courses (together with the allocated credit points) eligible for doctoral students is published each semester in the newsletter of the ZGSM.)
  - Graduate School (Official website of the Zurich Graduate School in Mathematics: )