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math.AP2023
The Dirichlet Problem for Lévy-stable operators with -data
Florian Grube, Thorben Hensiek, Waldemar Schefer
We prove Sobolev regularity for distributional solutions to the Dirichlet problem for generators of -stable processes and exterior data, inhomogeneity in weighted -spaces.…
math.AP2022★ 2 cited
Robust nonlocal trace spaces and Neumann problems
Florian Grube, Thorben Hensiek
We prove trace and extension results for fractional Sobolev spaces of order . These spaces are used in the study of nonlocal Dirichlet and Neumann problems on bounded do…