Some nonlocal formulas inspired by an identity of James Simon
Analysis of PDEs
2025-07-31 v3
Abstract
Inspired by a classical identity proved by James Simons, we establish a new geometric formula in a nonlocal, possibly fractional, setting. Our formula also recovers the classical case in the limit, thus providing an approach to Simons' work that does not heavily rely on differential geometry.
Keywords
Cite
@article{arxiv.2306.15179,
title = {Some nonlocal formulas inspired by an identity of James Simon},
author = {Serena Dipierro and Jack Thompson and Enrico Valdinoci},
journal= {arXiv preprint arXiv:2306.15179},
year = {2025}
}