BI.discrete Members
Professor Lars Diening
| Postal address | Universität Bielefeld Fakultät für Mathematik Postfach 10 01 31 D-33615 Bielefeld |
| Office | V5-138 |
| Phone | +49 (0)521 106-67588 +49 (0)521 106-6867 (secretary) |
| lars.diening@uni-bielefeld.de | |
| Office hours | by appointment |
- Short CV
2017 - Full professor at Bielefeld University 2015 - 2017 Full professor at Osnabrück University 2010 - 2015 W2 Professor at LMU Munich 2010 Extraordinary 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 - Research
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.
- Publications