Lipschitz stability in inverse problems for a Kirchhoff plate equation

Abstract

In this paper, we are concerned with inverse problems of determining spatially varying two Lamé coefficients and the mass density by a finite number of boundary observations. Our main results are Lipschitz stability estimates for the inverse problems under suitable conditions on initial values and boundary values. In particular, if we take suitable quadratic functions as initial displacements, then we can prove the Lipschitz stability with the minimum times of observations.