The □B-Heat Equation on CR Manifolds of Finite Type with Comparable Levi Forms

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We study the initial-value problems for the heat equations associated with the operator □b on compact CR manifolds of finite type. The critical component of our analysis is the condition called Dϵ(q) and introduced by K. D. Koenig [Amer. J. Math., 124, 129–197 (2002)]. Actually, it states that the min{q, n − 1 − q}th smallest eigenvalue of the Levi form is comparable with the largest eigenvalue of the Levi form.

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Correspondence to L. K. Ha.

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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 71, No. 8, pp. 1082–1101, August, 2019.

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Ha, L.K. The □B-Heat Equation on CR Manifolds of Finite Type with Comparable Levi Forms. Ukr Math J 71, 1234–1256 (2020) doi:10.1007/s11253-019-01710-y

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