Controllability of cascade coupled systems of multi-dimensional   evolution PDE's by a reduced number of controls
  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. 
Fatiha Alabau-Boussouira
math.OC math.AP