Carleman estimates for Mindlin-Timoshenko system with discontinuous coefficients and applications
摘要
In this article, we study the dynamical one-dimensional Mindlin-Timoshenko system for non-homogeneous beams. Our main result is a Carleman inequality for this system, which is obtained under the hypothesis of monotonicity for the speed of the beam. Two applications of this estimate are presented in this article: the boundary controllability of the system, and the Lipschitz stability of the inverse problem consisting in recovering a time-independent potential from a single measurement of the solution.