Prof. Dr. Robert Denk

  • Time and space: Tuesday, 15.15-16.00, in F 426,  Wednesday 13.30-15.00, in D 406. The lecture starts on October 22nd, 2013.
  • There are no exercise groups for this lecture. The Tuesday class is dedicated to discussion and deepening of the knowledge. A list of possible topics and questions can be found here (Version of December 16, 2013).
  • Language: English (with German lecture notes)

Contents
Literature
Lecture notes
Related Modules
Exam

Contents:

In this lecture series, we will consider parabolic differential equations as appearing, for instance, in models of heat conduction, fluid mechanics and phase transitions. In many applications the differential equation lives in a domain, and additional boundary conditions appear. For the analysis of nonlinear equation, maximal regularity is of central importance. In the lecture we will present parabolic boundary value problems and prove maximal regularity for them. One concept for the proof is the R-boundedness of operators.

For this lecture series, the student should have knowledge in functional analysis and partial differential equations. Knowledge on semigroups of operators are advantageous, too.

Literature:

Will be announced in the lecture.

Lecture notes:

There will be lecture notes (in German) which will be prepared in parallel to the lectures. An actual version can be found here.

Related Modules:

  • Masterstudiengang Mathematik (88105H)
      6000 Spezialisierungsmodule
        6100 Spezialisierungsmodule
  • Masterstudiengang Mathematik (88105H)
      3000 Wahlmodule
         3100 Wahlmodule 
  • Lehramtsstudiengänge WPO 2001
         (Staatsexamen)
           Mathematik
             Hauptstudium Vorlesungen 
  • Diplomstudiengänge
         Mathematik
             Hauptstudium Vorlesungen

Exam:

The module exam will take place in form of an oral exam which can be arranged individually.