Qualitative Methods in Inverse Scattering Theory

• Functional Analysis and Sobolev Spaces.- Ill-Posed Problems.- Scattering by an Imperfect Conductor.- The Inverse Scattering Problem for an Imperfect Conductor.- Scattering by an Orthotropic Medium.- The Inverse Scattering Problem for an Orthotropic Medium.- The Factorization Method.- Mixed Boundary Value Problems.- A Glimpse at Maxwell’s Equations.

From the reviews: "This book presents a qualitative approach to inverse scattering theory for electromagnetic waves, and contains also complementary material for the corresponding direct problems. It consists of 9 chapters, references and an index. The topics are presented at an introductional level, accessible to anyone having a mathematical background only in advanced calculus and linear algebra. ... The book is well-written, and readable at the level of advanced graduate students." (Luis Filipe Pinheiro de Castro, Zentralblatt MATH, Vol. 1099 (1), 2007) "This book is an excellent introduction to the newly developed class of methods in inverse scattering theory ... . the authors make a huge pedagogical effort to make the book self-contained and accessible to readers without a strong mathematical background. ... This is definitely the book to start with for anyone who would like to be introduced to this new field in inverse scattering theory." (Houssem Haddar, Mathematical Reviews, Issue 2008 c)