In the first edition of this book, we discussed methods for determining the support of an
inhomogeneous medium from measured far field data as well as an extensive study of the …

The field of inverse scattering theory has been a particularly active field in applied
mathematics for the past 25 years. The aim of research in this field has been to not only …

This survey aims to present the state of the art of research on the transmission eigenvalue
problem focussing on three main topics, namely the discreteness of transmission …

Transmission eigenvalue problem has important applications in inverse scattering. Since the
problem is non-self-adjoint, the computation of transmission eigenvalues needs special …

In this Note, we investigate the so-called interior transmission problem using the T-coercivity
approach. In particular, we prove that this problem, which appears when one is interested in …

In this paper we prove some results on interior transmission eigenvalues. First, under
reasonable assumptions, we prove that the spectrum is a discrete countable set and that the …

We continue our investigation of complex eigenvalues of the interior transmission problem
for spherically stratified media (Leung and Colton 2012 Inverse Problems 28 075005). In this …

The paper concerns the isotropic interior transmission eigenvalue (ITE) problem. This
problem is not elliptic, but we show that, using the Dirichlet-to-Neumann map, it can be …

We study the high-frequency behaviour of the Dirichlet-to-Neumann map for an arbitrary
compact Riemannian manifold with a nonempty smooth boundary. We show that far from the …

arxiv:1401.1627v3 [math.AP] 5 Jan 2015 Page 1 arxiv:1401.1627v3 [math.AP] 5 Jan 2015
Transmission eigenvalue-free regions Georgi Vodev Abstract. We prove the existence of large …