Spring Semester 2017

Partial Differential Equations

Syllabus

Quick Links:

Summary:
This semester, the course topics will be a mixture of introductory partial differential equations and an introduction to a Sobolev space approach to PDEs. It is suitable for undergraduate as well as for graduate students.

Contact Information:
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

Time and Place:
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

Recommended Textbook:
L.C. Evans: Partial Differential Equations

Grading:

Class Schedule (subject to change!)

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



Last modified: 2017/02/22
This page: http://math.jacobs-university.de/oliver/teaching/jacobs/spring2017/math472/index.html
Marcel Oliver (m.oliver@jacobs-university.de)