Robust nonlocal trace and extension theorems (2305.05735v2)

Published 9 May 2023 in math.AP

Abstract: 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 $p$-Laplacian. Our results are robust with respect to the order of differentiability. In this sense they are in align with the classical trace and extension theorems.

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