Abstract
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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