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We establish Carleman estimates for singular/degenerate parabolic Dirichletproblems with degeneracy and singularity occurring in the interior of thespatial domain. Our results are completely new, since this situation is notcovered by previous contributions for degeneracy and singularity on theboundary. In addition, we consider non smooth coefficients, thus preventing theuse of standard calculations in this framework.

Carleman estimates for singular parabolic equations with interior degeneracy and non smooth coefficients