Controllability results for a class of one-dimensional degenerate parabolic problems in nondivergence form (Q1021380)

The paper presents null controllability results for some degenerate parabolic equations in non divergence form on a bounded interval. The structure of the paper is as follows. First, the authors prove the well-posedness of the linear system, then for the adjoint problems they obtain Carleman estimates. After that, for the same adjoint system they prove the observability, and as a consequence they give the null controllability result for the considered linear system. In the final part, the authors extend previous results to a semilinear system.