Abstract:

This paper concerns with a class of parabolic systems with boundary degeneracy. The governed equations are weakly degenerate and satisfy homogeneous Neumann boundary value condition at the boundary where the equations are degenerate. With the help of detailed and complicated estimates, we established the Carleman inequality and the observability inequality. Thus the systems are shown to be null controllable.

Key words: boundary degeneracy, null controllability, Carleman inequality, observability inequality