250082 VO Selected topics in modern analysis (2010S)
Labels
Details
Language: German
Examination dates
Lecturers
Classes (iCal) - next class is marked with N
Wednesday
03.03.
11:15 - 12:45
Seminarraum
Wednesday
10.03.
11:15 - 12:45
Seminarraum
Wednesday
17.03.
11:15 - 12:45
Seminarraum
Wednesday
24.03.
11:15 - 12:45
Seminarraum
Wednesday
14.04.
11:15 - 12:45
Seminarraum
Wednesday
21.04.
11:15 - 12:45
Seminarraum
Wednesday
28.04.
11:15 - 12:45
Seminarraum
Wednesday
05.05.
11:15 - 12:45
Seminarraum
Wednesday
12.05.
11:15 - 12:45
Seminarraum
Wednesday
19.05.
11:15 - 12:45
Seminarraum
Wednesday
26.05.
11:15 - 12:45
Seminarraum
Wednesday
02.06.
11:15 - 12:45
Seminarraum
Wednesday
09.06.
11:15 - 12:45
Seminarraum
Wednesday
16.06.
11:15 - 12:45
Seminarraum
Wednesday
23.06.
11:15 - 12:45
Seminarraum
Wednesday
30.06.
11:15 - 12:45
Seminarraum
Information
Aims, contents and method of the course
We discuss the problems arising from nonlinear operation with distributions, in particular multiplication. Then we present a short (and simplified) introduction to (differential) algebras of generalized functions, which contain the distributions as a linear subspace. Finally we illustrate their applications to differential equations.
Assessment and permitted materials
oral exam
Minimum requirements and assessment criteria
Examination topics
definition, theorem, proof
Reading list
J. F. Colombeau: Multiplication of distributions. A tool in mathematics, numerical engineering and theoretical physics, Springer Lecture Notes in Math. 1532, 1992.M. Grosser and M. Kunzinger and M. Oberguggenberger and R. Steinbauer: Geometric theory of generalized functions (with applications to relativity), Kluwer 2001M. Oberguggenberger: Multiplication of distributions and applications to partial differential equations, Longman Scientific & Technical 1992.
Association in the course directory
MANV
Last modified: Mo 07.09.2020 15:40