On the Kato problem for elliptic operators in non-divergence form
Analysis of PDEs
2023-10-06 v3 Classical Analysis and ODEs
Abstract
We consider the Kato square root problem for non-divergence second order elliptic operators , and, especially, the normalized adjoints of such operators. In particular, our results are applicable to the case of real coefficients having sufficiently small BMO norm. We assume that the coefficients of the operator are smooth, but our estimates do not depend on the assumption of smoothness.
Keywords
Cite
@article{arxiv.2304.14694,
title = {On the Kato problem for elliptic operators in non-divergence form},
author = {Luis Escauriaza and Pablo Hidalgo-Palencia and Steve Hofmann},
journal= {arXiv preprint arXiv:2304.14694},
year = {2023}
}
Comments
30 pages. In this version, we have added more details in Remark 1.12