Partial Differential Equations (FSS 2026)
Announcements
(16/2) Students are encouraged to submit homework assignment for correction. However, it is not obligatory and there is no exam prerequisite in this course. The first assignment cannot be submitted.
(13/2) Schedule change: Please note that there has been a slight change to the schedule. While the times of both lectures remain unchanged, the rooms have been reassigned. In addition, the exercise session will now take place on Mondays instead of Wednesdays. The first exercise session will therefore be held on Monday, 16.02.2026.
(29/1) First lecture cancelled: The first lecture on Monday, 09.02.2026, is cancelled. We will officially start the course on Wednesday, 11.02.2026. The first exercise session will take place the following week, on Wednesday, 18.02.2026.
(29/1) Exam Format : The final grade for this course is the grade of the final oral examination. Appointments will be arranged individually at the end of the semester.
(29/1) Enrollment : If you’re interested in this course, please sign up on ILIAS: https://ilias.uni-mannheim.de/goto.php/crs/1728113/rcodeVZTkz32nGs
(29/1) Course Format: This course will be conducted with two in-person lectures and a weekly in-person exercise session. Please check this website for updates.
General information
Lecture: Prof. Li Chen
Exercise Session: Yueying Yang
Format: In-person
| MAA 504 Partial Differential Equations | Date/ | Room |
| Lecture | Mon 15:30 – 17:00 | A 5, 6 C 014 |
| Wed 15:30 – 17:00 | A 5, 6 C 015 | |
| Exercise Session | Mon 13:45 – 15:15 | A 5, 6 C 012 |
Exam Requirement: None
Contents
- Foundation: Arzela-Ascoli, Hölder spaces, Lp-spaces, Sobolev spaces.
- Existence and Uniquess of elliptic PDE: Regularity of weak solution, Fredholm Alternative, Maximum Principle.
- Linear Parabolic Equations: Existence and uniqueness of weak solutions, Galerkin method, Roth's method.
Homework Assignments
Homework assignments will be posted on ILIAS. Students are strongly encouraged to submit their solutions for correction starting with the second assignment. However, there is no exam prerequisite for this course. Solutions will be discussed in the exercise sessions.