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.
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