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math.AP2025
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…
math.AP2025★ 2 cited
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…