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math.AP2018
Second Order Operators Subject to Dirichlet Boundary Conditions in Weighted Triebel-Lizorkin Spaces: Parabolic Problems
Nick Lindemulder
In this paper we consider second order parabolic partial differential equations subject to the Dirichlet boundary condition on smooth domains. We establish weighted -maximal…
math.AP2018
The heat equation with rough boundary conditions and holomorphic functional calculus
Nick Lindemulder, Mark Veraar
In this paper we consider the Laplace operator with Dirichlet boundary conditions on a smooth domain. We prove that it has a bounded -calculus on weighted -spaces fo…