Professor Lars Diening

Postalische Adresse Universität Bielefeld
Fakultät für Mathematik
Postfach 10 01 31
D-33501 Bielefeld
Raum V5-138
Telefon +49 (0)521 106-67588
+49 (0)521 106-6867 (secretary)
Email lars.diening@uni-bielefeld.de
Sprechstunde Nach Vereinbarung
 

 

Kurzbiografie
2017-
Full professor at Bielefeld University
2015-2017
Full professor at Osnabrück University
2010-2015
W2 Professor at LMU Munich
2010
Extraordinaty professor at Freiburg University
2007
Habilitation thesis at Freiburg University
2002
Doctoral thesis at Freiburg University
1998-1999
Start of PhD at Bonn University
1997-1998
Assistant teacher at Michigan State University (USA)
1997
Diploma in Mathematics at Münster University
1997
Two-year-exam in Physics at Münster University
Forschung

My major field of research is the study of non-linear partial differential equations. This involves several aspects from mathematics:

Numerical Analysis: The goal is to develop and analyse algorithms for solving the non-linear PDEs. A strong focus is on adaptive methods with optimal complexity. A new focus is on the regularity of the finite element solutions.

Regularity and Existence Theory: Study of Non-Newtonian fluids and equations with similar structure like the p-Laplacian. The exact quantification of regularity in terms of the forcing terms (Nonlinear Calderon-Zygmund Theory) is one of the main questions.

Function Spaces: In the context of electrorheological fluids it is necessary to study space with variable integrability and differentiability. This topic was many years my main focus. Moreover, I also study function spaces of bounded variation.

Publikationen