Null controllability for a coupled system of degenerate/singular parabolic equations in nondivergence form

Abstract

We deal with a control problem for a coupled system of two degenerate singular parabolic equations in non-divergence form with degeneracy and singularity appearing at an interior point of the space domain. In particular, we consider the well-posedness of the problem and then we prove the null controllability property via an observability inequality for the adjoint system. The key ingredient is the derivation of a suitable Carleman-type estimate.

Keywords

• carleman estimates
• degenerate parabolic systems
• singular coefficients
• observability inequalities
• controllability