Floris B. Roodenburg
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View article: Well-posedness and regularity of the heat equation with Robin boundary conditions in the two-dimensional wedge
Well-posedness and regularity of the heat equation with Robin boundary conditions in the two-dimensional wedge Open
Well-posedness and higher regularity of the heat equation with Robin boundary conditions in an unbounded two-dimensional wedge are established in an L2-setting of monomially weighted spaces. A mathematical framework is developed that allow…
View article: Complex interpolation of weighted Sobolev spaces with boundary conditions
Complex interpolation of weighted Sobolev spaces with boundary conditions Open
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 dist…
View article: Well-Posedness and Regularity of the Heat Equation with Robin Boundary Conditions in the Two-Dimensional Wedge
Well-Posedness and Regularity of the Heat Equation with Robin Boundary Conditions in the Two-Dimensional Wedge Open
Well-posedness and higher regularity of the heat equation with Robin boundary conditions in an unbounded two-dimensional wedge is established in an $L^{2}$-setting of monomially weighted spaces. A mathematical framework is developed which …
View article: Well-posedness of the Stokes equations on a wedge with Navier-slip boundary conditions
Well-posedness of the Stokes equations on a wedge with Navier-slip boundary conditions Open
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 certai…