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We consider a parabolic problem with degeneracy in the interior of thespatial domain, and we focus on controllability results through Carlemanestimates for the associated adjoint problem. The novelty of the present paperis that the degeneracy is also in the interior of the control region, so thatno previous result can be adapted to this situation.

Carleman estimates and observability inequalities for parabolic equations with interior degeneracy