Approximate control of parabolic equations with on-off shape controls by Fenchel duality

Camille Pouchol, Emmanuel Trélat, Christophe Zhang

We consider the internal control of linear parabolic equations through on-off shape controls, i.e., controls of the form $M(t){\chi }_{\omega (t)}$ with $M(t)\ge 0$ and $\omega (t)$ with a prescri…