Robust nonlocal trace and extension theorems
Analysis of PDEs
2025-11-12 v2
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 -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.
Cite
@article{arxiv.2305.05735,
title = {Robust nonlocal trace and extension theorems},
author = {Florian Grube and Moritz Kassmann},
journal= {arXiv preprint arXiv:2305.05735},
year = {2025}
}
Comments
In the updated version we fixed some irritating typos