Foundation Theme Analysis: Nonsmooth evolutions

Prof. Dr. Martin Brokate (TU München)

Course content

Evolutions are processes which evolve in time. When (as here) time is modelled by a real variable, time derivatives of the unknown functions appear. "Nonsmooth" means that their mathematical formulation involves
- inequalities or inclusions instead of equations, and/or
- functions which are not differentiable in the standard sense (for example, the absolute value function).

The lectures will mainly cover
- evolutions governed by monotone operators, and
- rate independent evolutions.
Tools from convex analysis and from set-valued analysis will be treated.

Previous knowledge expected:
Some knowledge of basic notions of functional analysis is assumed.

Objectives (expected results of study and acquired competences):
The fundamental methods for the analysis of non-smooth problems and the applications for the evolutions-inclusions and inequalities. The course provides the mathematical tools to deal with problems of that kind.

Language of instruction: English or German on demand

See the course at Uni Graz Online here

Date and Place

Uni Graz, Heinrichstraße 36, 3.Obergeschoß - several seminar rooms

Date Time Room
Tuesday, 05.11.2019 08:30 – 10:00 SR11.34
Thursday, 07.11.2019 08:30 – 10:00 SR11.33
Friday, 08.11.2019 08:30 – 11:45 SR11.32
Monday, 11.11.2019 09:00 – 09:45 SR11.34
Tuesday, 12.11.2019 08:30 – 10:00 SR11.34
Thursday, 14.11.2019 08:30 – 10:00 SR11.33
Friday, 15.11.2019 10:30 – 12:00 SR11.32


TUM Mathematik Rutschen Universität der Bundeswehr München Technische Universität Graz Karl-Franzens-Universität Graz Technische Universität München
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