Floris B. Roodenburg
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Floris B. Roodenburg has a total of 12 co-authors. Here are the top co-authors by number of shared publications:
Nick Lindemulder
2 shared publicationsRobert Denk
Fachbereich Mathematik und Statistik, Universität Konstanz, 78457 Konstanz, Germany
2 shared publicationsEmiel Lorist
1 shared publication- Emiel Lorist
Delft Institute of Applied Mathematics, Delft University of Technology, Delft, The Netherlands
1 shared publication - Hans Knüpfer
MATCH and IWR, INF 205, University of Heidelberg, Heidelberg, Germany
1 shared publication - Jonas Sauer
Friedrich-Schiller-Universitat Jena, Jena, Germany
1 shared publication
Latest Publications
- Open Access
- 9 September 2026
- Published by Institute of Mathematics, Polish Academy of Sciences in Studia Mathematica
- p. 1-55
Complex interpolation of power-weighted Sobolev spaces with boundary conditions
We characterise the complex interpolation spaces of weighted vector-valued Sobolev spaces with and without boundary conditions on the half-space and on smooth bounded domains. The weights we consider are power weights that measure the distance to the boundary and do not necessarily belong to the class of Muckenhoupt Ap weights. First, we determine the higher-order trace spaces for weighted vector-valued Besov, Triebel–Lizorkin, Bessel potential and Sobolev spaces. This allows us to derive a trace theorem for boundary operators and to interpolate spaces with boundary conditions. Furthermore, we derive density results for weighted Sobolev spaces with boundary conditions.
- 9 September 2026
- Published by Institute of Mathematics, Polish Academy of Sciences in Studia Mathematica
- p. 1-55
Open AccessComplex interpolation of power-weighted Sobolev spaces with boundary conditions
We characterise the complex interpolation spaces of weighted vector-valued Sobolev spaces with and without boundary conditions on the half-space and on smooth bounded domains. The weights we consider are power weights that measure the distance to the boundary and do not necessarily belong to the class of Muckenhoupt Ap weights. First, we determine the higher-order trace spaces for weighted vector-valued Besov, Triebel–Lizorkin, Bessel potential and Sobolev spaces. This allows us to derive a trace theorem for boundary operators and to interpolate spaces with boundary conditions. Furthermore, we derive density results for weighted Sobolev spaces with boundary conditions.
- Open Access
- 4 June 2026
- Published by Springer Nature in Journal of Evolution Equations
- Vol. 26 (3) , 80
Trace theory for parabolic boundary value problems with rough boundary conditions
We characterize the trace spaces arising from intersections of weighted, vector-valued Sobolev spaces, where the weights are powers of the distance to the boundary. These weighted function spaces are particularly suitable for treating boundary value problems where derivatives of the solution blow up at the boundary. As an application of our trace theory, we prove well-posedness for the heat equation with rough inhomogeneous boundary data in Sobolev spaces of higher regularity in domains of fixed regularity $$C^{1,\kappa }$$ , with $$\kappa \in [0,1)$$ .- 4 June 2026
- Published by Springer Nature in Journal of Evolution Equations
- Vol. 26 (3) , 80
Open AccessTrace theory for parabolic boundary value problems with rough boundary conditions
We characterize the trace spaces arising from intersections of weighted, vector-valued Sobolev spaces, where the weights are powers of the distance to the boundary. These weighted function spaces are particularly suitable for treating boundary value problems where derivatives of the solution blow up at the boundary. As an application of our trace theory, we prove well-posedness for the heat equation with rough inhomogeneous boundary data in Sobolev spaces of higher regularity in domains of fixed regularity $$C^{1,\kappa }$$ , with $$\kappa \in [0,1)$$ . - Open Access
- 17 April 2026
- Published by Springer Nature in Mathematische Annalen
- Vol. 395 (2)
Higher-order regularity for a structurally damped plate equation on rough domains
We prove well-posedness and higher-order regularity for a linear structurally damped plate equation with inhomogeneous Dirichlet–Neumann boundary conditions on the half-space and on bounded domains. To this end, we study maximal regularity properties of the related first-order system on weighted Sobolev spaces of arbitrarily high smoothness. In particular, we consider Sobolev spaces with power weights that measure the distance to the boundary. This allows us to avoid unnatural compatibility conditions for the data and treat the plate equation with rough inhomogeneous boundary conditions on bounded $$C^{1,\kappa }$$ -domains, where $$\kappa \in (0,1)$$ depends on the exponent of the spatial power weight, but is independent of the smoothness of the data. Our methods can serve as an example to treat more complicated mixed-order systems as well.- 17 April 2026
- Published by Springer Nature in Mathematische Annalen
- Vol. 395 (2)
Open AccessHigher-order regularity for a structurally damped plate equation on rough domains
We prove well-posedness and higher-order regularity for a linear structurally damped plate equation with inhomogeneous Dirichlet–Neumann boundary conditions on the half-space and on bounded domains. To this end, we study maximal regularity properties of the related first-order system on weighted Sobolev spaces of arbitrarily high smoothness. In particular, we consider Sobolev spaces with power weights that measure the distance to the boundary. This allows us to avoid unnatural compatibility conditions for the data and treat the plate equation with rough inhomogeneous boundary conditions on bounded $$C^{1,\kappa }$$ -domains, where $$\kappa \in (0,1)$$ depends on the exponent of the spatial power weight, but is independent of the smoothness of the data. Our methods can serve as an example to treat more complicated mixed-order systems as well. - Open Access
Trace theory for parabolic boundary value problems with rough boundary conditions
We characterise the trace spaces arising from intersections of weighted, vector-valued Sobolev spaces, where the weights are powers of the distance to the boundary. These weighted function spaces are particularly suitable for treating boundary value problems where derivatives of the solution blow up at the boundary. As an application of our trace theory, we prove well-posedness for the heat equation with rough inhomogeneous boundary data in Sobolev spaces of higher regularity in domains of fixed regularity $C^{1,κ}$, with $κ\in [0,1)$.Open AccessTrace theory for parabolic boundary value problems with rough boundary conditions
We characterise the trace spaces arising from intersections of weighted, vector-valued Sobolev spaces, where the weights are powers of the distance to the boundary. These weighted function spaces are particularly suitable for treating boundary value problems where derivatives of the solution blow up at the boundary. As an application of our trace theory, we prove well-posedness for the heat equation with rough inhomogeneous boundary data in Sobolev spaces of higher regularity in domains of fixed regularity $C^{1,κ}$, with $κ\in [0,1)$. - Open Access
- 4 December 2025
- Published by Elsevier in Journal of Differential Equations
- Vol. 454
Functional calculus on weighted Sobolev spaces for the Laplacian on rough domains
- 4 December 2025
- Published by Elsevier in Journal of Differential Equations
- Vol. 454
Open AccessFunctional calculus on weighted Sobolev spaces for the Laplacian on rough domains
- Open Access
- 3 April 2025
- Published by Elsevier in Journal of Functional Analysis
- Vol. 289 (8)
Functional calculus on weighted Sobolev spaces for the Laplacian on the half-space
- 3 April 2025
- Published by Elsevier in Journal of Functional Analysis
- Vol. 289 (8)
Open AccessFunctional calculus on weighted Sobolev spaces for the Laplacian on the half-space
- Open Access
Well-posedness of the Stokes equations on a wedge with Navier-slip boundary conditions
We consider the incompressible and stationary Stokes equations on an infinite two-dimensional wedge with non-scaling invariant Navier-slip boundary conditions. We prove well-posedness and higher regularity of the Stokes problem in a certain class of weighted Sobolev spaces. The novelty of this work is the occurrence of two different scalings in the boundary condition, which is not treated so far for the Stokes system in unbounded wedge-type domains. These difficulties are overcome by first constructing a variational solution in a second order weighted Sobolev space and subsequently proving higher regularity up to the tip of the wedge by employing an iterative scheme. We believe that this method can be used for other problems with variational structure and multiple scales.
Open AccessWell-posedness of the Stokes equations on a wedge with Navier-slip boundary conditions
We consider the incompressible and stationary Stokes equations on an infinite two-dimensional wedge with non-scaling invariant Navier-slip boundary conditions. We prove well-posedness and higher regularity of the Stokes problem in a certain class of weighted Sobolev spaces. The novelty of this work is the occurrence of two different scalings in the boundary condition, which is not treated so far for the Stokes system in unbounded wedge-type domains. These difficulties are overcome by first constructing a variational solution in a second order weighted Sobolev space and subsequently proving higher regularity up to the tip of the wedge by employing an iterative scheme. We believe that this method can be used for other problems with variational structure and multiple scales.