In this paper we review some recent results concerning
inverse problems for thin elastic plates. The plate is assumed to
be made by non-homogeneous linearly elastic material belonging to
a general class of anisotropy. A first group of results concerns
uniqueness and stability for the determination of unknown
boundaries, including the cases of cavities and rigid inclusions.
In the second group of results, we consider upper and lower
estimates of the area of unknown inclusions given in terms of the
work exerted by a couple field applied at the boundary of the
plate. In particular, we extend previous size estimates for
elastic inclusions to the case of cavities and rigid inclusions.
This journal presents original articles on the theory, numerics and applications of inverse and ill-posed problems. These inverse and ill-posed problems arise in mathematical physics and mathematical analysis, geophysics, acoustics, electrodynamics, tomography, medicine, ecology, financial mathematics etc. Articles on the construction and justification of new numerical algorithms of inverse problem solutions are also published.