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

2022/10/04 by Ataei, Alireza, Nyström, Kaj
#Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2210.01663

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.

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