most citedRobust nonlocal trace spaces and Neumann problems

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

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…

math.AP2022

Maximum principle for stable operators

Florian Grube, Thorben Hensiek

We prove a weak maximum principle for nonlocal symmetric stable operators. This includes the fractional Laplacian. The main focus of this work is the regularity of the considered f…