Bøger af Fioralba Cakoni

This book introduces new approaches in inverse scattering theory focusing on the use of sampling methods and transmission eigenvalues. Includes background material on functional analysis, Sobolev spaces, the theory of ill posed problems and other topics.

Describes the linear sampling method for a variety of electromagnetic scattering problems and presents uniqueness theorems and the derivation of various inequalities on the material properties of the scattering object from a knowledge of the far field pattern of the scattered wave.

Inverse scattering theory has been a particularly active and successful field in applied mathematics and engineering for the past twenty years.