Professor Lars Diening
|Postalische Adresse||Universität Bielefeld
Fakultät für Mathematik
Postfach 10 01 31
|Telefon||+49 (0)521 106-67588
+49 (0)521 106-6867 (secretary)
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.