Exact controllability of a cascade system of conservative equations

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New phenomena for the null controllability of parabolic systems: Minimal time and geometrical dependence (2016, background): “2) under sign conditions on the function q (see [2], [34], [1] and [17]): q 6≡ 0 and q ≥ 0 or q ≤ 0 in (0, π).”
Indirect controllability of some linear parabolic systems of m equations with m − 1 controls involving coupling terms of zero or first order (2016, background): “the case where the coupling regions do not intersect the control domain, only few results are known and in general there are some technical and geometrical restrictions (see for example [10], [11] or [12]). These restrictions come from the use of the transmutation method that requires a controllabil”
Controllability of Two Coupled Wave Equations on a Compact Manifold (2013, unknown): “Concerning cascade heat equations, the only result (to our knowledge) is proved in one space dimension with the same strategy in [39].”