Welcome to MAGIC058 - Theory of Partial Differential
Equations
This is the website for the course MAGIC058 (Theory of
Partial Differential Equations) Autumn 2023. This is a
graduate-level course, and a strong mathematical background is
assumed. This is a core course within the MAGIC network. Most
materials will appear on the MAGIC website.
Lecture
notes.
Textbooks:
- Walter A. Strauss, Partial Differential Equations: An
Introduction (2nd edition)
- Fritz John, Partial Differential Equations (4th
edition)
- Lawrence C. Evans, Partial Differential Equations (2nd
edition)
Syllabus:
- Introduction to Partial Differential Equations (PDEs):
notation, examples
- The diffusion equation on the real line
- Fourier series
- Separation of variables on an interval:
- The wave equation
- The diffusion equation
- Laplace's equation in a bounded domain
Time permitting, we will cover additional topics of interest,
such as
- More equations coming from physics
- Wave phenomena and variants of the wave equation
- Nonlinear PDEs
Contact me by email.