Control of three heat equations coupled with two cubic nonlinearities

[Oli14] Guillaume Olive, Boundary approximate controllability of some linear parabolic systems, Evolution Equations and Control Theory 3 (2014), no. Seidman, How violent are

Also in this reference, some controllability results for systems of two parabolic equations were considered when a double coupling occurs (the solution of each equation appears in

Superexponential stabilizability of evolution equations of parabolic type via bilinear control *.. Fatiha Alabau-Boussouira, Piermarco Cannarsa,

Assia Benabdallah, Michel Cristofol, Patricia Gaitan, Luz de Teresa. Controllability to trajectories for some parabolic systems of three and two equations by one control force..

Also in this reference, some controllability results for systems of two parabolic equations were considered when a double coupling occurs (the solution of each equation appears in

SOLONNIKOV, On boundary value problems for linear parabolic systems of differential equations of a general type (Russian), Trudy Matematicheskogo. Instituta

LIPKO - Boundary value Problems for parabolic systems in regions of general type, Dokl. FRIEDMAN - Partial Differential Equations of Parabolic Type,

We consider optimal distributed and boundary control problems for semilinear parabolic equations, where pointwise constraints on the control and pointwise mixed