APM 576: Theory of PDE
Fall 2019
| Class Time | M, W 12:15pm – 1:30pm |
| Class Location | Tempe – PSH 433 |
| Instructor | Sébastien Motsch |
| Office | WXLRA 836 |
| smotsch@asu[dot]edu | |
| Office Hours | M, W 11:00am – 12:00pm, |
| Class webpage | www.seb-motsch.com/graduate |
Textbook
- L. Evans, Partial Differential Equations (2nd edition)
- Additional: H. Brézis, Functional Analysis, Sobolev Spaces and Partial Differential Equations
Course description
This course introduces rigorous methods to study partial differential equations such as existence theory and global behavior of solutions. The goal is to understand intuitively PDEs and then to develop analytic skills to prove results.
The course will be divided in four parts:
- a) Review PDEs (Chap. 1, Chap. 2.1-2.3)
- b) Functional analysis (Chap. 5.2-5.7)
- c) Elliptic PDEs (Chap. 6)
- d) Evolution equations (Chap. 7)
Class Schedule
| Aug 26 – 28 | Intro. (chap. 1), Transport eq. (chap. 2.1) |
| Sep 2 – 4 | Heat eq. (chap. 2.3) |