Singular integrals and a problem on mixing flows
Classical Analysis and ODEs
2019-06-11 v2 Analysis of PDEs
Abstract
We prove a result related to Bressan's mixing problem. We establish an inequality for the change of Bianchini semi-norms of characteristic functions under the flow generated by a divergence free time dependent vector field. The approach leads to a bilinear singular integral operator for which we prove bounds on Hardy spaces. We include additional observations about the approach and a discrete toy version of Bressan's problem.
Cite
@article{arxiv.1612.03431,
title = {Singular integrals and a problem on mixing flows},
author = {Mahir Hadžić and Andreas Seeger and Charles K. Smart and Brian Street},
journal= {arXiv preprint arXiv:1612.03431},
year = {2019}
}
Comments
To appear in Annales de l'Institut Henri Poincar\'e (C) Analyse Non Lin\'eaire