Controllability of cascade coupled systems of multi-dimensional evolution PDE's by a reduced number of controls (1109.6645v2)

Abstract: We prove controllability results for abstract systems of weakly coupled $N$ evolution equations in cascade by a reduced number of boundary or locally distributed controls ranging from a single up to $N-1$ controls. We give applications to cascade coupled systems of $N$ multi-dimensional-hyperbolic, parabolic and diffusive equations.