The Kato square root problem for parabolic operators with an anti-symmetric part in BMO
… We solve the Kato square root problem for parabolic operators whose coefficients can be
written as the sum of a complex part, which is elliptic, and a real anti-symmetric part which is
in BMO. In particular, we allow for unbounded coefficients. … The contribution of this paper
is that we solve the Kato square root problem for parabolic operators as in (1.1), (1.2),
assuming (2.2) and (2.3), hence allowing for potentially unbounded coefficients through D.
While this is of independent interest, we are motivated by the long term goal to establish …
written as the sum of a complex part, which is elliptic, and a real anti-symmetric part which is
in BMO. In particular, we allow for unbounded coefficients. … The contribution of this paper
is that we solve the Kato square root problem for parabolic operators as in (1.1), (1.2),
assuming (2.2) and (2.3), hence allowing for potentially unbounded coefficients through D.
While this is of independent interest, we are motivated by the long term goal to establish …
We solve the Kato square root problem for parabolic operators whose coefficients can be written as the sum of a complex part, which is elliptic, and a real anti-symmetric part which is in BMO. In particular, we allow for unbounded coefficients.
arxiv.org
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