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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.AP2023
Robust nonlocal trace and extension theorems
Florian Grube, Moritz Kassmann
We prove trace and extension results for Sobolev-type function spaces that are well suited for nonlocal Dirichlet and Neumann problems including those for the fractional -Laplac…