On the limiting behaviour of some nonlocal seminorms: a new phenomenon
Analysis of PDEs
2021-02-26 v2
Abstract
In this note we study the behaviour as of some semigroup based Besov seminorms associated with a non-symmetric and hypoelliptic diffusion with a drift. Our results generalise a previous one of Maz'ya and Shaposhnikova for the classical fractional Sobolev spaces , and they also underscore a new phenomenon caused by the presence of the drift.
Keywords
Cite
@article{arxiv.2004.01303,
title = {On the limiting behaviour of some nonlocal seminorms: a new phenomenon},
author = {Federico Buseghin and Nicola Garofalo and Giulio Tralli},
journal= {arXiv preprint arXiv:2004.01303},
year = {2021}
}
Comments
The paper is going to appear in Ann. Sc. Norm. Super. Pisa Cl. Sci