Instructor: | Marcel Oliver |
Email: | m.oliver@iu-bremen.de |
Phone: | 200-3212 |
Office hours: | M 15:00, W 11:00 in Research I, 107 |
Grader: | Shaowu Tang |
Email: | s.tang@iu-bremen.de |
Lectures: | Tu 9:45-11:00, Th 8:15--9:30 in East Hall 8 |
Homework: | 20% |
Presentation: | 20% |
Midterm Exam: | 20% |
Final Exam: | 40% |
31/08/2004: | No class |
02/09/2004: | Introduction; linear transport equation |
07/09/2004: | Laplace equation, fundamental solution |
09/09/2004: | Poisson equation, mean value formulas |
14/09/2004: | Harmonic functions: maximum principle, uniqueness for solutions to the Poisson equation, regularity |
16/09/2004: | Harmonic functions: analyticity |
21/09/2004: | Harmonic functions: Liouville's theorem, Harnack's inequality |
23/09/2004: | Dirichlet problem, Green's functions |
28/09/2004: | Green's function for the half-space; energy methods |
30/09/2004: | Heat equation: fundamental solution, solution formulas |
05/10/2004: | Mean value formulas for the heat equation, maximum principle |
07/10/2004: | Regularity |
12/10/2004: | Energy methods, backward uniqueness |
14/10/2004: | Wave equation: D'Alembert's formula, energy methods |
19/10/2004: | Tools from functional Analysis I |
21/10/2004: | Tools from functional Analysis II |
26/10/2004: | Midterm review |
28/10/2004: | Midterm Exam |
02/11/2004: | Reaction-Diffusion equation (overview) |
04/11/2004: | Proof of existence and uniqueness of solutions to the Fisher-Kolmogorov equation I |
09/11/2004: | Proof of existence and uniqueness of solutions to the Fisher-Kolmogorov equation II |
11/11/2004: | Special topics |
16/11/2004: | Special topics |
18/11/2004: | Special topics |
23/11/2004: | Presentation |
25/11/2004: | Presentation |
30/11/2004: | Presentation |
02/12/2004: | Review for final exam |
09/12/2004: | Final Exam, 11:00-13:00 in the Research II Lecture Hall |