Exact boundary control for the wave equation in a polyhedral time-dependent domain Original Research Article

We establish exact boundary controllability for the wave equation in a polyhedral domain where a part of the boundary moves slowly with constant speed in a small interval of time. The control on the moving part of the boundary is given by the conormal derivative associated with the wave operator while in the fixed part the control is of Neuman type. For initial state H1 × L2 we obtain controls in L2.