Instructor: | Marcel Oliver |
Email: | m.oliver@jacobs-university.de |
Phone: | 200-3212 |
Office hour: | We, 10:00 in Research I, 107 |
TA: | Konstantin Bogdanov |
Email: | k.bogdanov@jacobs-university.de |
Lectures: | Mo 9:45-11:00 and We 8:15-9:30 in East Hall 8 |
Tutorial: | Fr 15:45-17:00 in East Hall 8 |
Homework: | 30% |
Midterm Exam: | 30% |
Presentation: | 10% |
Final Exam: | 30% |
01/02/2017: | Introduction; transport equation |
06/02/2017: | Laplace equation, fundamental solution |
08/02/2017: | Poisson equation, mean value formulas, maximum principle |
13/02/2017: | Harmonic functions: smoothness, estimates on derivatives |
15/02/2017: | Harmonic functions: Liouville theorem and consequences, analyticity, Harnack inequality |
20/02/2017: | Green's functions |
22/02/2017: | Poisson kernel for the half-space; energy methods |
27/02/2017: | Heat equation: introduction, fundamental solution, solution formulas |
01/03/2017: | Initial value problem for the heat equation |
06/03/2017: | |
08/03/2017: | |
13/03/2017: | |
15/03/2017: | |
20/03/2017: | |
22/03/2017: | |
27/03/2017: | Midterm review |
29/03/2017: | Midterm Exam |
03/04/2017: | |
05/04/2017: | |
19/04/2017: | |
24/04/2017: | |
26/04/2017: | |
03/05/2017: | |
08/05/2017: | |
10/05/2017: | |
15/05/2017: | Review for final exam |
TBA: | Final Exam |