Control of Three Heat Equations Coupled with Two Cubic Nonlinearities
Control of Three Heat Equations Coupled with Two Cubic Nonlinearities
We study the null controllability of three parabolic equations. The control is acting only on one of the three equations. The three equations are coupled by means of two cubic nonlinearities. The linearized control system around 0 is not null controllable. However, using the cubic nonlinearities, we prove the (global) …