Frank Duzaar
Professor of Mathematics (retired in 2023)
Professor of Mathematics (retired in 2023)
My research lies in the field of mathematical analysis, with a particular focus on nonlinear elliptic and parabolic partial differential equations and systems. I am especially interested in questions of existence and regularity for PDEs that exhibit singular or degenerate behavior in their structure. Beyond their mathematical richness, such equations arise in a variety of applied contexts, including fluid dynamics, diffusion in highly inhomogeneous media, and the evolution of glaciers. The analytical methods involved draw from several areas, including measure theory, harmonic analysis, and functional analysis. More recently, my attention has turned to the regularity theory of nonlocal equations, such as the fractional p-Laplacian, which introduces new structural and technical challenges.
University of Salzburg, Department of Mathematics
Hellbrunnerstraße 34, A-5020 Salzburg (Austria)
Email: frank.duzaar(at)gmail.com, frankjohannes.duzaar(at)plus.ac.at
Website at University of Salzburg: https://www.plus.ac.at/mathematik/fachbereich/team/duzaar-frank/