MATH 8465. Spectral Theory and Differential Equations
| Course Code | MATE 8465 |
|---|---|
| Course Title | Spectral Theory and Differential Equations |
| Credits | 3 |
| Hours | 3 per week |
| Prerequisites | MATH 6460, MATH 8469 |
| Description | Unbounded operators. Graphs and symmetric operators. Self-adjointness. Cayley transforms. Extensions of symmetric operators. Resolutions of the identity and the spectral theorem. Stone’s theorem. Introduction to distributions. Sobolev spaces. Variational methods. The Laplace operator. The heat equation. |
| Additional Information |