Research projects:
Theory of weighted function spaces (Publications 5. & 7.)
Functional calculus and differential operators on weighted spaces (Publications 1., 3., 6. 7. & 8.)
Boundary value problems in wedge-type domains (Publications 2. & 4.)
Theory of weighted function spaces (Publications 5. & 7.)
Functional calculus and differential operators on weighted spaces (Publications 1., 3., 6. 7. & 8.)
Boundary value problems in wedge-type domains (Publications 2. & 4.)
8. F.B. Roodenburg.
Optimal semigroup estimates and functional calculus for the Laplacian on weighted Sobolev spaces.
7. R. Denk and F.B. Roodenburg.
Trace theory for parabolic boundary value problems with rough boundary conditions.
Journal of Evolution Equations, 26(3):80, 2026. Full text, arXiv.
6. R. Denk and F.B. Roodenburg.
Higher-order regularity for a structurally damped plate equation on rough domains.
Mathematische Annalen, 395(2):32, 2026. Full text, arXiv.
5. F.B. Roodenburg.
Complex interpolation of power-weighted Sobolev spaces with boundary conditions.
Studia Mathematica. Full text, 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.
Journal of the Mathematical Society of Japan, 1-70, 2026. Full text, 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.
1. D. Goodair and F.B. Roodenburg.
Global well-posedness for the 2D stochastic hypoviscous Navier-Stokes equations.
To appear in Oberwolfach Seminars. arXiv.
Doctoral dissertation 2026: Analysis in weighted spaces: Functional calculus and parabolic boundary value problems.
Delft University of Technology. Promotor: Mark Veraar. Copromotor: Emiel Lorist.
Master thesis 2022: Strong solutions to the Stokes problem with Navier-slip on a wedge.
Delft University of Technology. Advisor: Manuel Gnann.
Bachelor thesis 2020: Riemann’s explicit formula and the prime number theorem.
Delft University of Technology. Advisor: Wolter Groenevelt.
Workshop that I am co-organising:
SPDEs below sea level. July 1-5 2024.
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.