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Reconstruction of Small Inhomogeneities from Boundary Measurements

  • Authors
  • Habib Ammari
  • Hyeonbae Kang

Part of the Lecture Notes in Mathematics book series (LNM, volume 1846)

Table of contents

  1. Front Matter
    Pages N2-IX
  2. Habib Ammari, Hyeonbae Kang
    Pages 1-4
  3. Habib Ammari, Hyeonbae Kang
    Pages 6-9
  4. Habib Ammari, Hyeonbae Kang
    Pages 11-39
  5. Habib Ammari, Hyeonbae Kang
    Pages 41-64
  6. Habib Ammari, Hyeonbae Kang
    Pages 65-78
  7. Habib Ammari, Hyeonbae Kang
    Pages 79-101
  8. Habib Ammari, Hyeonbae Kang
    Pages 104-107
  9. Habib Ammari, Hyeonbae Kang
    Pages 109-127
  10. Habib Ammari, Hyeonbae Kang
    Pages 129-149
  11. Habib Ammari, Hyeonbae Kang
    Pages 151-157
  12. Habib Ammari, Hyeonbae Kang
    Pages 159-173
  13. Habib Ammari, Hyeonbae Kang
    Pages 176-178
  14. Habib Ammari, Hyeonbae Kang
    Pages 179-183
  15. Habib Ammari, Hyeonbae Kang
    Pages 185-195
  16. Habib Ammari, Hyeonbae Kang
    Pages 197-205
  17. Habib Ammari, Hyeonbae Kang
    Pages 207-214
  18. Habib Ammari, Hyeonbae Kang
    Pages 215-221
  19. Habib Ammari, Hyeonbae Kang
    Pages 223-236
  20. Habib Ammari, Hyeonbae Kang
    Pages 237-238
  21. Back Matter
    Pages 239-239

About this book

Introduction

This is the first book to provide a systematic exposition of promising techniques for the reconstruction of small inhomogeneities from boundary measurements. In particular, theoretical results and numerical procedures for the inverse problems for the conductivity equation, the Lamé system, as well as the Helmholtz equation are discussed in a readable and informative manner. The general approach developed in this book is based on layer potential techniques and modern asymptotic analysis of partial differential equations. The book is particularly suitable for graduate students in mathematics.

Keywords

Helmholtz equation inverse boundary value problems layer potential techniques partial differential equation reconstruction small inhomogeneities

Bibliographic information

  • DOI https://doi.org/10.1007/b98245
  • Copyright Information Springer-Verlag Berlin Heidelberg 2004
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-22483-9
  • Online ISBN 978-3-540-44501-2
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site