250082 VO Selected topics in modern analysis (2010S)

3.00 ECTS (2.00 SWS), SPL 25 - Mathematik

Details

Language: German

Examination dates

Lecturers

Günther Hörmann

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 2001

M. 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