Course Description

MATH 8465. Spectral Theory and Differential Equations

Code Title Credits Contact
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