# Global Steady-State Controllability of One-Dimensional Semilinear Heat Equations

@article{Coron2004GlobalSC, title={Global Steady-State Controllability of One-Dimensional Semilinear Heat Equations}, author={J. Coron and E. Tr{\'e}lat}, journal={SIAM J. Control. Optim.}, year={2004}, volume={43}, pages={549-569} }

We investigate the problem of exact boundary controllability of semilinear one-dimensional heat equations. We prove that it is possible to move from any steady-state to any other by means of a boundary control, provided that both are in the same connected component of the set of steady-states. The proof is based on an effective feedback stabilization procedure, which is implemented.

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