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Applied Mathematical Sciences

Inverse Problems for Partial Differential Equations

Authors: Isakov, Victor

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About this book

The topic of the inverse problems is of substantial and rapidly growing interest for many scientists and engineers. The second edition covers most important recent developments in the field of inverse problems, describing theoretical and computational methods, and emphasizing new ideas and techniques. It also reflects new changes since the first edition, including some corrections. This edition is considerably expanded, with some concepts such as pseudo-convexity, and proofs simplified. New material is added to reflect recent progress in theory of inverse problems.

This book is intended for mathematicians working with partial differential equations and their applications, and physicists, geophysicists and engineers involved with experiments in nondestructive evaluation, seismic exploration, remote sensing and tomography.

Reviews

From the reviews of the second edition:

"The first edition of this excellent book appeared in 1998 and became a standard reference for everyone interested in analysis and numerics of inverse problems in partial differential equations. … The second edition is considerably expanded and reflects important recent developments in the field … . Some of the research problems from the first edition have been solved … ." (Johannes Elschner, Zentralblatt MATH, Vol. 1092 (18), 2006)


Table of contents (10 chapters)

Table of contents (10 chapters)
  • Inverse Problems

    Pages 1-19

  • Ill-Posed Problems and Regularization

    Pages 20-40

  • Uniqueness and Stability in the Cauchy Problem

    Pages 41-88

  • Elliptic Equations: Single Boundary Measurements

    Pages 89-126

  • Elliptic Equations: Many Boundary Measurements

    Pages 127-172

Buy this book

eBook $99.00
price for USA in USD
  • ISBN 978-0-387-32183-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA in USD
  • ISBN 978-0-387-25364-0
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • This title is currently reprinting. You can pre-order your copy now.
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Bibliographic Information

Bibliographic Information
Book Title
Inverse Problems for Partial Differential Equations
Authors
Series Title
Applied Mathematical Sciences
Series Volume
127
Copyright
2006
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-32183-7
DOI
10.1007/0-387-32183-7
Hardcover ISBN
978-0-387-25364-0
Series ISSN
0066-5452
Edition Number
2
Number of Pages
XIV, 346
Topics

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