Frank Duzaar
Professor of Mathematics (retired in 2023)
Professor of Mathematics (retired in 2023)
My research is in mathematical analysis, centered on nonlinear elliptic and parabolic partial differential equations and systems. I am particularly interested in existence and regularity questions for equations with singular or degenerate structure. Beyond their intrinsic mathematical interest, such models arise in fluid dynamics, diffusion in highly inhomogeneous media, and glaciology. Methodologically, my work draws on measure theory, harmonic analysis, and functional analysis, with an emphasis on quantitative estimates and intrinsic scaling. A current line of inquiry concerns the regularity theory of nonlocal equations—most notably the fractional p-Laplacian—which presents 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/