Remarks on Ornstein's non-inequality in $\mathbb{R}^{2\times 2}$
Analysis of PDEs
2021-03-22 v2 Classical Analysis and ODEs
Abstract
We give a very concise proof of Ornstein's non-inequality for first- and second-order operators in two dimensions. The proof just needs a two-dimensional laminate supported on three points.
Cite
@article{arxiv.2006.09060,
title = {Remarks on Ornstein's non-inequality in $\mathbb{R}^{2\times 2}$},
author = {Daniel Faraco and André Guerra},
journal= {arXiv preprint arXiv:2006.09060},
year = {2021}
}
Comments
v2: small corrections and change to title