240163 Nonlocal Operators (PDE 3) (V) (SoSe 2026)
Contents, comment
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The focus of this course is on non-local operators of fractional order. We concentrate on operators with a differentiability order between zero and two, which are therefore also referred to as integro-differential operators. This lecture can be taken independently of the courses PDE 1 and PDE 2, as the necessary concepts will be introduced as needed. However, a solid understanding of those courses is advantageous, as we will work extensively with analogies to the familiar world of differential operators. Ideally, we will succeed in developing a theory analogous to that of De Giorgi-Moser-Nash for second-order differential operators.
The non-local operators under consideration have many applications in current research, such as in the study of Markov jump processes or image processing. I am very happy to accommodate the specific requests and interests of students.
Requirements for participation, required level
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Knowledge of Analysis, Functional Analysis and ideally some theory of partial differential equations.
Bibliography
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Will be added shortly.
Teaching staff
Dates ( Calendar view )
| Frequency | Weekday | Time | Format / Place | Period | |
|---|---|---|---|---|---|
| weekly | Di | 12-14 | B2-260A | 13.04.-24.07.2026 | |
| weekly | Fr | 12-14 | B2-218 | 13.04.-24.07.2026 |
Subject assignments
The binding module descriptions contain further information, including specifications on the "types of assignments" students need to complete. In cases where a module description mentions more than one kind of assignment, the respective member of the teaching staff will decide which task(s) they assign the students.
| Degree programme/academic programme | Validity | Variant | Subdivision | Status | Semester | LP | |
|---|---|---|---|---|---|---|---|
| Studieren ab 50 |
- Address:
- SS2026_240163@ekvv.uni-bielefeld.de
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- Last update basic details/teaching staff:
- Monday, April 13, 2026
- Last update times:
- Monday, February 16, 2026
- Last update rooms:
- Monday, February 16, 2026
- Type(s) / SWS (hours per week per semester)
- lecture (V) / 4
- Language
- This lecture is taught in english
- Department
- Faculty of Mathematics
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