1. Inverse Spectral Problems Waves propagate carrying characteristic features of
surrounding media, more generally, ambient spaces. By observing the wave motion, one …

In my view the theory of inverse problems is one of the most attractive parts of applied
mathematics. This is due to many different factors. An important reason is that I began my …

In inverse scattering theory, transmission eigenvalues can be seen as the extension of the
notion of resonant frequencies for impenetrable objects to the case of penetrable dielectrics …

This book is devoted to the mathematical study of geometrical inverse scattering problems.
In the physical setup, one sends incident wave fields to interrogate an unknown/inaccessible …

arXiv:math/0402356v1 [math.SP] 23 Feb 2004 Page 1 arXiv:math/0402356v1 [math.SP] 23 Feb
2004 1 1 Page 2 The inverse spectral problem Steve Zelditch October 23, 2018 1 Introduction …

An eigenvalue-free region is determined for the far field operator corresponding to the
scattering of time harmonic acoustic or electromagnetic waves by an inhomogeneous …

An inverse method for elastic, electromagnetic, or acoustic waves in a stratified half‐space is
presented. Rather than transforming the wave equation to one for which quantum inverse …

The present Special Issue on Inverse Problems consists of five invited papers, which
basically refer to the solution of nonlinear inverse wave scattering problems. So far, the …

The transmission eigenvalue problem was previously introduced in Sect. 8.4 where it was
shown to play a central role in establishing the completeness of the set of far field patterns in …

The purpose of this text is to present the theory and mathematics of inverse scattering, in a
simple way, to the many researchers and professionals who use it in their everyday …