The Kato problem for weighted elliptic and parabolic operators of higher order
Analysis of PDEs
2025-11-10 v4
Abstract
We solve the Kato square root problem for parabolic operators of arbitrary order whose coefficients are allowed to depend on both space and time in a merely measurable way and possess boundedness and ellipticity controlled by a Muckenhoupt weight. Notably, the proof applies to the weighted Kato problem within an elliptic framework.
Cite
@article{arxiv.2503.01636,
title = {The Kato problem for weighted elliptic and parabolic operators of higher order},
author = {Guoming Zhang},
journal= {arXiv preprint arXiv:2503.01636},
year = {2025}
}