The (interior) transmission eigenvalue problems are a type of non-elliptic, non-selfadjoint
and nonlinear spectral problems that arise in the theory of wave scattering. They connect to …

The purpose of this chapter is to provide a survey of our book by placing what we have to
say in a historical context. We obviously cannot give a complete account of inverse …

2 Introduction that the law of formation has been found. The corresponding direct problem is
to evaluate the sequence (an) given the law of formation. It is clear that such inverse …

In this chapter, we are interested in finding coefficients of the second-order hyperbolic
operator:(8.0. 1) a0∂ 2 t u+ Au= f in Q= Ω×(0, T) given the initial data (8.0. 2) u= u0,∂ tu= u1 …

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 …

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 inverse scattering problem for electromagnetic waves is an area of major importance in
applied mathematics. In particular, one can argue that the invention of radar is one of the …

We prove the existence of an infinite discrete set of transmission eigenvalues corresponding
to the scattering problem for isotropic and anisotropic inhomogeneous media for both the …

This book covers finite element methods for several typical eigenvalues that arise from
science and engineering. Both theory and implementation are covered in depth at the …

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