NULL CONTROLLABILITY OF A PARABOLIC SYSTEM WITH A CUBIC COUPLING TERM

Coron JM; Guerrero S; Rosier L

SIAM Journal on Control and Optimization, Vol.48, No.8, 5629-5653, 2010

We consider a system of two parabolic equations with a forcing term present in one equation and a cubic coupling term in the other one. We prove that the system is locally null controllable.

Keywords:null controllability;parabolic system;nonlinear coupling;Carleman estimate;return method