The fractional Laplacian: a primer
Analysis of PDEs
2023-10-31 v1
Abstract
In this note we give a glimpse of the fractional Laplacian. In particular, we bring several definitions of this non-local operator and series of proofs of its properties. It is structured in a way as to show that several of those properties are natural extensions of their local counterparts, with some key differences.
Keywords
Cite
@article{arxiv.2310.19118,
title = {The fractional Laplacian: a primer},
author = {Rafayel Teymurazyan},
journal= {arXiv preprint arXiv:2310.19118},
year = {2023}
}
Comments
27 pages