Theory of weighted function spaces (Publications 5. & 6.)
Functional calculus and differential operators on weighted Sobolev spaces (Publications 1., 3., 6. & 7.)
Boundary value problems in wedge-type domains (Publications 2. & 4.)
7. R. Denk and F.B. Roodenburg.
Higher-order regularity for a structurally damped plate equation on rough domains.
Preprint on arXiv, 39 pages.
6. R. Denk and F.B. Roodenburg.
Trace theory for parabolic boundary value problems with rough boundary conditions.
Preprint on arXiv, 22 pages.
5. F.B. Roodenburg.
Complex interpolation of power-weighted Sobolev spaces with boundary conditions.
To appear in Studia Mathematica. arXiv.
4. M. Bravin, M.V. Gnann, H. Knüpfer, N. Masmoudi, F.B. Roodenburg and J. Sauer.
Well-posedness of the Stokes equations on a wedge with Navier-slip boundary conditions.
To appear in Journal of the Mathematical Society of Japan. arXiv. Paper is partially based on my master thesis.
3. N. Lindemulder, E. Lorist, F.B. Roodenburg and M.C. Veraar.
Functional calculus on weighted Sobolev spaces for the Laplacian on rough domains.
Journal of Differential Equations, 454:113884, 2026. Full text, arXiv.
2. M. Bravin, M.V. Gnann, H. Knüpfer, N. Masmoudi, F.B. Roodenburg and J. Sauer.
Well-posedness and regularity of the heat equation with Robin boundary conditions in the two-dimensional wedge.
Communications in Partial Differential Equations, 50(9):1099-1134, 2025. Full text, arXiv.
1. N. Lindemulder, E. Lorist, F.B. Roodenburg and M.C. Veraar.
Functional calculus on weighted Sobolev spaces for the Laplacian on the half-space.
Journal of Functional Analysis, 289(8):110985, 2025. Full text, arXiv.
Workshop that I am co-organising:
SPDEs below sea level. July 1-5 2024.
Theses.
Master thesis. Strong solutions to the Stokes problem with Navier-slip on a wedge. Supervised by Manuel Gnann.
Bachelor thesis. Riemann’s explicit formula and the prime number theorem. Supervised by Wolter Groenevelt.
Model-order reduction for Navier-Stokes equations at VORtech.
Experiments with simple model-order reduction methods for temperature simulations in data centres.
Theoretical research to the Navier-Stokes equations in simple words.
History of mathematics: The Archimedes Palimpsest.
Collection of math and logic riddles (in Dutch). Comments and suggestions are welcome.