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- About this book
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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
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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)
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Inverse Problems
Pages 1-19
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Ill-Posed Problems and Regularization
Pages 20-40
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Uniqueness and Stability in the Cauchy Problem
Pages 41-88
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Elliptic Equations: Single Boundary Measurements
Pages 89-126
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Elliptic Equations: Many Boundary Measurements
Pages 127-172
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Table of contents (10 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Inverse Problems for Partial Differential Equations
- Authors
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- Victor Isakov
- 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
