Integral Equation Methods in Inverse Scattering Theory

David Colton is Unidel Professor of Mathematics at the University of Delaware. He is the author or coauthor of six books, including The Linear Sampling Method in Inverse Electromagnetic Scattering (2011), written with Fioralba Cakoni and Peter Monk. Rainer Kress is a Full Professor of Numerical and Applied Mathematics at the University of Goettingen. He has been a member of the Goettingen Academy of Sciences since 1995 and Professor Emeritus since 2010. He is the author or coauthor of five books.

Preface to the Classics Edition; Preface; Symbols; 1. The Riesz-Fredholm theory for compact operators; 2. Regularity properties of surface potentials; 3. Boundary-value problems for the scalar Helmholtz equation; 4. Boundary-value problems for the time-harmonic Maxwell equations and the vector Helmholtz equation; 5. Low frequency behavior of solutions to boundary-value problems in scattering theory; 6. The inverse scattering problem: exact data; 7. Improperly posed problems and compact families; 8. The determination of the shape of an obstacle from inexact far-field data; 9. Optimal control problems in radiation and scattering theory; References; Index.