An Inverse Problem for the Plate in the Love–Kirchhoff Theory

This paper studies an inverse boundary value problem for the equation of the flexure of the linear, inhomogeneous, isotropic, thin plate in the context of the Love–Kirchhoff theory. It is shown that the Young modulus E and the Poisson ratio ν of the material forming the plate can be determined by the Dirichlet-to-Neumann map; the boundary values of E, ν; and their finitely many derivatives if E and ν are close enough to constants in a suitable sense.