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

Fuente: arXiv
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Autori principali: Ataei, Alireza, Nyström, Kaj
Natura: Preprint
Pubblicazione: 2022
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author Ataei, Alireza
Nyström, Kaj
author_facet Ataei, Alireza
Nyström, Kaj
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2210_01663
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle The Kato square root problem for parabolic operators with an anti-symmetric part in BMO
Ataei, Alireza
Nyström, Kaj
Analysis of PDEs
Classical Analysis and ODEs
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.
title The Kato square root problem for parabolic operators with an anti-symmetric part in BMO
topic Analysis of PDEs
Classical Analysis and ODEs
url https://arxiv.org/abs/2210.01663