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We consider non smooth general degenerate/singular parabolic equations in nondivergence form with degeneracy and singularity occurring in the interior ofthe spatial domain, in presence of Dirichlet or Neumann boundary conditions. Inparticular, we consider well posedness of the problem and then we prove  Carleman estimates for the associated adjoint problem.

Interior degenerate/singular parabolic equations in nondivergence form: well-posedness and Carleman estimates