The sharp minimal time for null controllability of the parabolic spherical Baouendi-Grushin equation on crown ω={α<x3<β} is ln(1/sqrt(1-α²)), with controllability in any positive time if the equator is included.
Uniform bounds on biorthogonal functions for real exponentials with an application to the control theory of parabolic equations
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Minimal time for null controllability of the parabolic spherical Baouendi-Grushin equation
The sharp minimal time for null controllability of the parabolic spherical Baouendi-Grushin equation on crown ω={α<x3<β} is ln(1/sqrt(1-α²)), with controllability in any positive time if the equator is included.