Lecture Notes in Mathematics

Reconstruction of Small Inhomogeneities from Boundary Measurements

Authors: Ammari, Habib, Kang, Hyeonbae

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About this book

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.

Reviews

From the reviews:

"The book … describes a ‘fresh and promising techniques for the reconstruction of small inclusions from boundary measurements’ and the presentation is ‘intended to be self-contained’. … The problems discussed in the book are of interest both theoretically and practically. This book hopefully will stimulate the research in the area of finding small inhomogeneities from experimental data." (Alexander G. Ramm, Zentralblatt MATH, Vol. 1113 (15), 2007)


Table of contents (19 chapters)

Table of contents (19 chapters)

Buy this book

eBook $54.99
price for USA in USD
  • ISBN 978-3-540-44501-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.95
price for USA in USD
  • ISBN 978-3-540-22483-9
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Reconstruction of Small Inhomogeneities from Boundary Measurements
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1846
Copyright
2004
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-44501-2
DOI
10.1007/b98245
Softcover ISBN
978-3-540-22483-9
Series ISSN
0075-8434
Edition Number
1
Number of Pages
X, 242
Topics