Carleman estimates for degenerate parabolic equations with first order terms and applications

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Carleman estimates and observability inequalities for parabolic equations with interior degeneracy (2012, background): “A first example is their application to global null controllability (see [1], [2], [3], [4], [11], [12], [13], [18], [21], [22], [27], [28], [26], [29], [34] and the references therein): for all T > 0 and for all initial data u0 ∈ L(2)((0, T )× (0, 1)) there is a suitable control h ∈ L(2)((0, T )× (”
Null controllability of Grushin-type operators in dimension two (2011, background): “Several extensions of the above results are available in one space dimension, see [1, 37] for equations in divergence form, [10, 9] for nondivergence form operators, and [8, 24] for cascade systems.”
2d Grushin-type equations: Minimal time and null controllable data (2015, background): “In particular, null controllability still holds for weak degeneracies and fails for too strong ones, see [12, 13, 11, 1, 29, 10, 9, 8, 20, 34].”