Transmission Eigen Values and Related Spectral Problems in Scattering Theory

This special issue features recent developments in the theory and applications of transmission eigenvalues and related spectral problems in direct and inverse scattering theory.

The transmission eigenvalue problem is at the heart of inverse scattering theory for inhomogeneous media. It has a deceptively simple formulation but presents a perplexing mathematical structure; in particular it is a non-self-adjoint eigenvalue problem. This subject is rich, active and in the past decade has taken a multitude of directions, including developments in the spectral theory for various operators related to scattering, as well as many applications in inverse scattering problems and imaging.