Here is a clearly written introduction to three central areas of inverse problems: inverse problems in electromagnetic scattering theory, inverse spectral theory, and inverse problems in quantum scattering theory. Inverse problems, one of the most attractive parts of applied mathematics, attempt to obtain information about structures by nondestructive measurements. Based on a series of lectures presented by three of the authors, all experts in the field, the book provides a quick and easy way for readers to become familiar with the area through a survey of recent developments in inverse spectral and inverse scattering problems.
The aim of this book is to provide basic knowledge of the inverse problems arising in various areas in mathematics, physics, engineering, and medical science.
Following Keller [119] we call two problems inverse to each other if the for mulation of each of them requires full or partial knowledge of the other.
The book is highly illustrated and contains many exercises. This together with the choice of material and its presentation in the book are new, thus making it particularly suitable for graduate students in mathematics and engineering.
The soliton represents one ofthe most important ofnonlinear phenomena in modern physics.
This manuscript is devoted to a rigorous and detailed exposition of the spectral theory and associated forward and inverse scattering problems for the Laplace-Beltrami operators on asymptotically hyperbolic manifolds.
This book provides an introduction to the most recent developments in the theory and practice of direct and inverse Sturm-Liouville problems on finite and infinite intervals.
[Ch.CoPaRn Chadan, K., Colton, D., Päivärinta, L., Rundell, W. An Introduction to Inverse Scattering and Inverse Spectral Problems. With a foreword by M. Cheney. SIAM Monographs on Math. Model. and Comput., SIAM, Philadelphia, PA, 1997.
To answer this fundamental problem in mathematics and physics, this book leads the reader to the frontier of inverse scattering theory for electromagnetism.The first three chapters, written comprehensively, can be used as a textbook for ...
This book presents the theory of inverse spectral and scattering problems and of many other inverse problems for differential equations in an essentially self-contained way.
This book is devoted to the mathematical and numerical analysis of the inverse scattering problem for acoustic and electromagnetic waves.