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 |