This paper presents a limited survey of methods and multidisciplinary applications of various techniques for the solution of several classes of inverse problems as developed and practiced by our research team. Sketches of solution methods for inverse problems of shape determination, boundary conditions determination, sources determination, and physical properties determination are presented fro...

We describe recent theoretical and experimental progress on making objects invisible. Ideas for devices that would have once seemed fanciful may now be at least approximately realized physically, using a new class of artificially structured materials, metamaterials. The equations that govern a variety of wave phenomena, including electrostatics, electromagnetism, acoustics and quantum mechanics...

What mathematicians, scientists, engineers, and statisticians mean by \inverse problem" di ers. For a statistician, an inverse problem is an inference or estimation problem. The data are nite in number and contain errors, as they do in classical estimation or inference problems, and the unknown typically is in nite-dimensional, as it is in nonparametric regression. The additional complication i...

A collection of inverse eigenvalue problems are identi ed and classi ed according to their characteristics Current developments in both the theoretic and the algorithmic aspects are summarized and reviewed in this paper This exposition also reveals many open questions that deserves further study An extensive bibliography of pertinent literature is attached

In this paper, we fo us on nonparametri estimators in inverse problems for Poisson pro esses involving the use of wavelet de ompositions. Adopting an adaptive wavelet Galerkin dis retization we nd that our method ombines the well know theoreti al advantages of wavelet-vaguelette de ompositions for inverse problems in terms of optimally adapting to the unknown smoothness of the solution, togethe...

This article is devoted to some inverse problems arising in the context of linear elasticity, namely the identification of distributions of elastic moduli, model parameters, or buried objects such as cracks. These inverse problems are considered mainly for threedimensional elastic media under equilibrium or dynamical conditions, and also for thin elastic plates. The main goal is to overview som...

Many design questions in telecommunications, signal processing and control can be formulated as inverse problems. Moreover, there is a surprising degree of similarity in the solutions to the problems from diverse areas. Here we will outline some basic approaches to solving inverse problems and draw connections between different areas of application. Inverse problems become particularly interest...