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20242026
most citedFunctional calculus on weighted Sobolev spaces for the Laplacian on the half-space

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math.AP2026

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…

math.AP2026

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…