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New Analytic and Geometric Methods in Inverse Problems

Lectures given at the EMS Summer School and Conference held in Edinburgh, Scotland 2000

  • Kenrick Bingham
  • Yaroslav V. Kurylev
  • Erkki Somersalo

Table of contents

  1. Front Matter
    Pages I-XVI
  2. EMS Summer School

    1. Front Matter
      Pages 1-1
    2. Yuri Burago, David Shoenthal
      Pages 3-50
    3. Anders Holst, Anders Melin
      Pages 51-92
    4. Alexander Katchalov, Matti Lassas
      Pages 127-163
    5. Lassi Päivärinta
      Pages 165-185
    6. Vladimir A. Sharafutdinov
      Pages 187-259
    7. Gunther Uhlmann
      Pages 261-279
  3. EMS Conference

About these proceedings

Introduction

In inverse problems, the aim is to obtain, via a mathematical model, information on quantities that are not directly observable but rather depend on other observable quantities. Inverse problems are encountered in such diverse areas of application as medical imaging, remote sensing, material testing, geosciences and financing. It has become evident that new ideas coming from differential geometry and modern analysis are needed to tackle even some of the most classical inverse problems. This book contains a collection of presentations, written by leading specialists, aiming to give the reader up-to-date tools for understanding the current developments in the field.

Keywords

Boundary value problem Carleman estimates Differential geometry Integral geometry Inverse Problems for partial differential equations inverse scattering problem inverse scattering theory scattering theory

Editors and affiliations

  • Kenrick Bingham
    • 1
  • Yaroslav V. Kurylev
    • 2
  • Erkki Somersalo
    • 1
  1. 1.Institute of MathematicsHelsinki University of TechnologyFinland
  2. 2.Department of Mathematical SciencesLoughborough UniversityLoughborough, LeicestershireUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-08966-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 2004
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-07379-3
  • Online ISBN 978-3-662-08966-8
  • Buy this book on publisher's site