MTH943 Course Videos

I will post ≈30 minutes worth of video lectures every weekday between January 20 and April 16, with the exception of the March 2 & 3 university break days. Each individual video will be no more than 10 minutes in length; there will be multiple "short lectures" posted each day. It is entirely up to you whether you watch the videos each day or binge them once a week.

Week 1 (Jan 20 - Jan 26)

Overview

What is Dispersion

Quantum Phase Space

Week 2 (Jan 27 - Feb 2)

Linear Schrödinger Equation

Week 3 (Feb 3 - Feb 9)

Week 4 (Feb 10 - Feb 16)

Nolinear Schrödinger Equations

Week 5 (Feb 17 - Feb 23)

Week 6 (Feb 24 - Mar 5)

Note: University break days on Mar 2 and Mar 3. I will also post no lecture for Monday Mar 1. So going forward Weeks will end on Fridays.

Linear Klein-Gordon and Wave

Week 7 (Mar 8 - Mar 12)

Week 8 (Mar 15 - Mar 19)

Nonlinear Equations with Small, Compactly Supported Initial Data

Week 9 (Mar 22 - Mar 26)

Note: this week I am using a long-form video format. This is because the technical parts of the proof of small data global wellposedness is a little bit complicated, with many moving parts. Splitting things up into short videos makes cross referencing more complicated and the proof harder to follow.

You can find a copy of the handwritten notes, pre-annotation, HERE. I encourage having a copy open to follow along when watching the videos.

Week 10 (Mar 29 - Apr 2)

Klein-Gordon and Wave, $L^1$ bounds and Strichartz

Week 11 (Apr 5 - Apr 9)

Null Condition

Week 12 (Apr 12 - Apr 16)

Summary