250365 VO Global Analysis (2007S)
Global Analysis
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Language: German
Examination dates
Lecturers
Classes (iCal) - next class is marked with N
Tuesday
06.03.
15:15 - 16:45
Seminarraum
Thursday
08.03.
13:15 - 14:45
Seminarraum
Tuesday
13.03.
15:15 - 16:45
Seminarraum
Thursday
15.03.
13:15 - 14:45
Seminarraum
Tuesday
20.03.
15:15 - 16:45
Seminarraum
Thursday
22.03.
13:15 - 14:45
Seminarraum
Tuesday
27.03.
15:15 - 16:45
Seminarraum
Thursday
29.03.
13:15 - 14:45
Seminarraum
Tuesday
17.04.
15:15 - 16:45
Seminarraum
Thursday
19.04.
13:15 - 14:45
Seminarraum
Tuesday
24.04.
15:15 - 16:45
Seminarraum
Thursday
26.04.
13:15 - 14:45
Seminarraum
Thursday
03.05.
13:15 - 14:45
Seminarraum
Tuesday
08.05.
15:15 - 16:45
Seminarraum
Thursday
10.05.
13:15 - 14:45
Seminarraum
Tuesday
15.05.
15:15 - 16:45
Seminarraum
Tuesday
22.05.
15:15 - 16:45
Seminarraum
Thursday
24.05.
13:15 - 14:45
Seminarraum
Thursday
31.05.
13:15 - 14:45
Seminarraum
Tuesday
05.06.
15:15 - 16:45
Seminarraum
Tuesday
12.06.
15:15 - 16:45
Seminarraum
Thursday
14.06.
13:15 - 14:45
Seminarraum
Tuesday
19.06.
15:15 - 16:45
Seminarraum
Thursday
21.06.
13:15 - 14:45
Seminarraum
Tuesday
26.06.
15:15 - 16:45
Seminarraum
Thursday
28.06.
13:15 - 14:45
Seminarraum
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Aims, contents and method of the course
Assessment and permitted materials
Minimum requirements and assessment criteria
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Last modified: Mo 07.09.2020 15:40
some basic notions of Hilbert space theory (compact operators, Lax-Milgram, Fredholm-Operators). Then these results will be applied to the study of elliptic differential operators, first on the torus and then on bounded regions in euclidean space (embedding theorems (Sobolev, Rellich), Garding inequality). We then introduce the notion of differential operator on vector bundles. Finally we define Sobolev spaces on vector bundles, prove the Hodge theorem and study the index of elliptic differential operators.