Teaching / Course archive
Math 581: Winter 2022
PDE 2
Course Record
Overview
Graduate PDE II course emphasizing distributions, Fourier transform, constant coefficient systems, spectral theory, and nonlinear evolution equations.
Schedule and Topics
| Date | Topic |
|---|---|
| R 1/6 | Introduction. Cauchy-Kovalevskaya theorem. |
Topic List
- Cauchy-Kovalevskaya theorem
- Distributions and Fourier transform
- Constant coefficient linear systems
- Ellipticity, parabolicity, and hyperbolicity
- Spectral theory
- Nonlinear evolution equations, if time permits
Books and Related Pages
Books
- Gerald B. Folland, Introduction to partial differential equations. Princeton, 1995.
- Jeffrey Rauch, Partial differential equations. Springer, 1991.
Related Course Pages
Assignments and Projects
Assignments and Exams
- Homework assignments and a course project.
Archive Note
The archived page preserved the outline and first meeting; the remaining schedule rows were blank.