English

The Kato square root problem for parabolic operators with an anti-symmetric part in BMO

Analysis of PDEs 2025-01-15 v2 Classical Analysis and ODEs

Abstract

We solve the Kato square root problem for parabolic operators whose coefficients can be written as the sum of a complex part, which is coercive, and a real anti-symmetric part, which is in BMO. In particular, we allow for certain unbounded coefficients.

Keywords

Cite

@article{arxiv.2210.01663,
  title  = {The Kato square root problem for parabolic operators with an anti-symmetric part in BMO},
  author = {Alireza Ataei and Kaj Nyström},
  journal= {arXiv preprint arXiv:2210.01663},
  year   = {2025}
}