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Inverse Problems in Mathematical Physics

Proceedings of The Lapland Conference on Inverse Problems Held at Saariselkä, Finland, 14–20 June 1992

  • Conference proceedings
  • © 1993

Overview

Editors:
  1. Lassi Päivärinta
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  2. Erkki Somersalo
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Part of the book series: Lecture Notes in Physics (LNP, volume 422)

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Table of contents (29 papers)

  1. Front Matter

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  2. Introduction

    • Giovanni Alessandrini
    Pages ix-xviii

  3. Stability for the crack determination problem

    • Giovanni Alessandrini
    Pages 1-8

  4. Layer-stripping reconstruction algorithms in impedance imaging

    • Margaret Cheney, David Isaacson, Erkki Somersalo
    Pages 9-15

  5. Determination of the inhomogeneous term in evolution equations

    • M. Choulli
    Pages 16-21

  6. Target signatures for Maxwell's equations

    • David Colton
    Pages 22-28

  7. The use of Graßmann identities for inversion of a general model in diffuse tomography

    • F. Alberto Grünbaum, S. K. Patch
    Pages 29-48

  8. Generic uniqueness and stability in some inverse parabolic problem

    • Karl-Heinz Hoffmann, Masahiro Yamamoto
    Pages 49-54

  9. Regularization — Analytic and stochastic aspects

    • Bernd Hofmann
    Pages 55-61

  10. Problems in impedance imaging

    • David Isaacson, Margaret Cheney, Jonathan Newell
    Pages 62-70

  11. Uniqueness for inverse problems in quasilinear differential equations

    • Victor Isakov
    Pages 71-86

  12. Diffraction by periodic structures

    • Andreas Kirsch
    Pages 87-102

  13. On uniqueness in inverse obstacle scattering

    • Rainer Kress
    Pages 103-111

  14. The inverse Scattering Problem for a homogeneous Bi-isotropic Slab Using Transient data

    • Gerhard Kristensson, Sten Rikte
    Pages 112-125

  15. On the inverse scattering problem for rational reflection coefficients

    • P. B. Kurasov
    Pages 126-133

  16. Some geometric aspects of multidimensional inverse spectral problems

    • Ya. Kurylev
    Pages 134-138

  17. Three dimensional time harmonic inverse electromagnetic scattering

    • Pierluigi Maponi, Luciano Misici, Francesco Zirilli
    Pages 139-147

  18. Determination of a radially symmetric speed of sound from transmission eigenvalues

    • Joyce R. McLaughlin
    Pages 148-156

  19. A finite difference method for the inverse scattering problem at fixed frequency

    • F. Natterer, F. Wübbeling
    Pages 157-166

  20. Present status of the generalized Marchenko method for the solution of the inverse scattering problem in three dimensions

    • Roger G. Newton
    Pages 167-173
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Keywords

About this book

The book contains presentations of recent and ongoing research on inverse problems and its application to engineering and physical sciences. The articles are structured around three closely related topics: Inverse scattering problems, inverse boundary value problems, and inverse spectral problems. The applications range from quantum and electromagnetic scattering to medical imaging, geophysical sounding of the Earth, and non-destructive material evaluation. The book gives an up-to-date presentation of the most recent developments in these rapidlychanging and evolving fields of applied research. The contributors of the volume give extra emphysis to the pedagogical aspects of their presentation to make this collection eysily accessible to graduate students as well as to people working on nearby fields of research.

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