Carleman Estimate for Elliptic Operators with Coefficients with Jumps at an Interface in Arbitrary Dimension and Application to the Null Controllability of Linear Parabolic Equations

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Carleman estimates for parabolic equations and applications (2009, background): “Under some geometrical constraints on the interface of the break of the continuity of a, Carleman estimates are proved: [13, 15, 16, 42, 116, 117, 126].”
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 )× (”