4 citations · 6 across the 7 of their papers we have counts for
9 papers
Global well-posedness for the 2D stochastic hypoviscous Navier-Stokes equations
Daniel Goodair, Floris Roodenburg
We study stochastic hypoviscous Navier--Stokes equations on the torus with dissipation for and multiplicative noise. Relying on stochastic maximal r…
Optimal semigroup estimates and functional calculus for the Laplacian on weighted Sobolev spaces
Floris Roodenburg
In this paper, we consider the Laplace operator on the half-space with Dirichlet and Neumann boundary conditions. These operators are studied on Sobolev spaces with power weights m…
Higher-order regularity for a structurally damped plate equation on rough domains
Robert Denk, Floris Roodenburg
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…
Trace theory for parabolic boundary value problems with rough boundary conditions
Robert Denk, Floris B. Roodenburg
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…
Functional calculus on weighted Sobolev spaces for the Laplacian on rough domains
Nick Lindemulder, Emiel Lorist, Floris Roodenburg +1
We study the Laplace operator on domains subject to Dirichlet or Neumann boundary conditions. We show that these operators admit a bounded -functional calculus on weigh…
Complex interpolation of power-weighted Sobolev spaces with boundary conditions
Floris B. Roodenburg
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…
Well-Posedness and Regularity of the Heat Equation with Robin Boundary Conditions in the Two-Dimensional Wedge
Marco Bravin, Manuel V. Gnann, Hans Knüpfer +3
Well-posedness and higher regularity of the heat equation with Robin boundary conditions in an unbounded two-dimensional wedge is established in an -setting of monomially we…
Well-posedness of the Stokes equations on a wedge with Navier-slip boundary conditions
Marco Bravin, Manuel V. Gnann, Hans Knüpfer +3
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-posedn…
Functional calculus on weighted Sobolev spaces for the Laplacian on the half-space
Nick Lindemulder, Emiel Lorist, Floris Roodenburg +1
In this paper, we consider the Laplace operator on the half-space with Dirichlet and Neumann boundary conditions. We prove that this operator admits a bounded -calculus o…