We consider the problem of identification of a connected crack in a bounded domain. Conditions on the boundary data are presented such that the crack can be identified by the corresponding measurement. An admissible crack (or screen) is considered to be a part of a boundary of an open set with Lipschitz regularity.
We show that in the case of admissible connected shapes, a single measurement is enough to determine the position and the shape of a conductive crack, or an acoustic screen.

CEMAT - Center for Computational and Stochastic Mathematics