Mt. Niane et O. Seck, EXACT BOUNDARY CONTROLLABILITY OF THE WAVE-EQUATION IN A DOMAIN WITH CRACKS BY ADDITION OF INTERNAL CONTROLS NEAR THE CRACK TIPS, Consensus development conference summaries, 316(7), 1993, pp. 695-700
Without geometrical conditions, we prove the exact controllability of
wave equation in a domain with cracks by combining a square integrable
boundary control whose support does not hit the crack tips and intern
al controls with support in small neighbourhoods of crack tips.