A uniqueness theorem for the determination of sources in the Germain-Lagrange plate equation

We prove a uniqueness result related to the Germain-Lagrange dynamic plate differential equation. We consider the equation {∂2u∂t2+△2u=g⊗f,in ]0,+∞)×R2,u(0)=0,∂u∂t(0)=0, where u stands for the transverse displacement, f is a distribution compactly supported in space, and g∈Lloc1([0,+∞)) is a function of time such that g(0)≠0 and there is a T0>0 such that g∈C1[0,T0[. We prove that the knowledge of u over an arbitrary open set of the plate for any interval of time ]0,T[, 0