Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8898117 | Annales de l'Institut Henri Poincare (C) Non Linear Analysis | 2018 | 23 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Mahir HadžiÄ, Andreas Seeger, Charles K. Smart, Brian Street,