Boundary control for small vibrations of holed membranes

In this work we study the exact boundary control for a vibrating membrane with nonsmooth boundary and a hole inside. The edge of the hole moves freely in the direction perpendicular to the rest position of the membrane, or it remains attached to some fixed flat arc. We show that it is possible to act on the outer edge of the membrane causing the vibration to cease after a time \(T >0\) has elapsed. For more information and the latex file, see https://ejde.math.txstate.edu/Volumes/2026/89/abstr.html