240157 Partielle Differentialgleichungen II (V) (SoSe 2022)
Contents, comment
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Ziel ist es, in die Regularitätstheorie elliptischer und parabolischer Differentialgleichungen einzusteigen.
Obwohl in der Vorlesung keinerlei stochastische Probleme behandelt werden, sind die behandelten Sätze grundlegend für das Verständnis von stochastischen (partiellen) Differentialgleichungen.
Requirements for participation, required level
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Es ist nicht zwingend erforderlich, die Vorlesung Partielle Differentialgleichungen I gehört zu haben. Eine Datei mit allen dort behandelten Sätzen etc. wird zur Verfügung gestellt, so dass ein Einstieg in das Gebiet auch jetzt mit dieser Vorlesung gut gelingen kann.
Kennen sollte man: Laplace-Operator, Poisson-Problem, Wärmeleitungsgleichung, Sobolev-Räume, Lemma von Lax-Milgram
Bibliography
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Lawrence C. Evans: Partial Differential Equations (AMS Press)
Ben Schweizer: Partielle Differentialgleichungen (Springer)
Gilbarg/Trudinger: Elliptic Partial Differential Equations (Springer)
Teaching staff
Dates ( Calendar view )
| Frequency | Weekday | Time | Format / Place | Period |
|---|
Subject assignments
| Module | Course | Requirements | |
|---|---|---|---|
| 24-M-P1 Profilierung 1 | Profilierungsvorlesung (mit Übung) - Typ 1 | Student information | |
| 24-M-P1a Profilierung 1 Teil A | Profilierungsvorlesung (mit Übung) - Typ 1 | Student information | |
| - | Graded examination | Student information | |
| 24-M-P1b Profilierung 1 Teil B | Profilierungsvorlesung (mit Übung) - Typ 1 | Student information | |
| - | Graded examination | Student information | |
| 24-M-P2 Profilierung 2 | Profilierungsvorlesung (mit Übungen) - Typ 1 | Student information | |
| 24-M-PWM Profilierung Wirtschaftsmathematik | Profilierungsvorlesung (mit Übung) - Typ 1 | Student information | |
| - | Graded examination | Student information | |
| 24-M-S2-AN Spezialisierung 2 - Analysis | Masterkurs 1 Analysis - Variante 1 | Student information | |
| 24-M-V2-AN Vertiefung 2 - Analysis | Masterkurs 1 Analysis - Variante 1 | Student information | |
| - | Graded examination | Student information | |
| 24-M-VM2 Vertiefung Mathematik 2 | Vertiefungskurs Mathematik 2 - Variante 1 | Student information | |
| - | Graded examination | Student information |
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 | |
|---|---|---|---|---|---|---|---|
| Mathematik / Promotion | Subject-specific qualification | 4 | aktive Teilnahme oder unbenotete Einzelleistung |
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