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The Kato square root problem for parabolic operators with an anti-symmetric part in BMO (2210.01663v2)
Published 4 Oct 2022 in math.AP and math.CA
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.