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Qualitative Methods in Inverse Scattering Theory

An Introduction

  • Fioralba Cakoni
  • David Colton

Part of the Interaction of Mechanics and Mathematics book series (IMM)

About this book

Introduction

Inverse scattering theory has been a particularly active and successful field in applied mathematics and engineering for the past twenty years. The increasing demands of imaging and target identification require new powerful and flexible techniques besides the existing weak scattering approximation or nonlinear optimization methods. One class of such methods comes under the general description of qualitative methods in inverse scattering theory. This textbook is an easily-accessible "class-tested" introduction to the field. It is accessible also to readers who are not professional mathematicians, thus making these new mathematical ideas in inverse scattering theory available to the wider scientific and engineering community.

Keywords

Analysis Boundary value problem Sobolev space inverse scattering problem inverse scattering theory linear optimization nonlinear optimization optimization scattering theory

Authors and affiliations

  • Fioralba Cakoni
    • 1
  • David Colton
    • 1
  1. 1.Department of Mathematical SciencesUniversity of DelawareNewarkUSA

Bibliographic information

  • DOI https://doi.org/10.1007/3-540-31230-7
  • Copyright Information Springer-Verlag Berlin Heidelberg 2006
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-540-28844-2
  • Online ISBN 978-3-540-31230-7
  • Series Print ISSN 1860-6245
  • Buy this book on publisher's site