
Inverse Problems for Partial Differential Equations
Victor Isakov(Author)
Springer (Publisher)
2nd Edition
Published on 22. December 2005
Book
Hardback
XIV, 346 pages
978-0-387-25364-0 (ISBN)
Shipment within 5-7 days
Description
In 8 years after publication of the ?rst version of this book, the rapidly progre- ing ?eld of inverse problems witnessed changes and new developments. Parts of the book were used at several universities, and many colleagues and students as well as myself observed several misprints and imprecisions. Some of the research problems from the ?rst edition have been solved. This edition serves the purposes of re?ecting these changes and making appropiate corrections. I hope that these additions and corrections resulted in not too many new errors and misprints. Chapters 1 and 2 contain only 2-3 pages of new material like in sections 1.5, 2.5. Chapter 3 is considerably expanded. In particular we give more convenient de?nition of pseudo-convexity for second order equations and included bou- ary terms in Carleman estimates (Theorem 3.2.1 ) and Counterexample 3.2.6. We give a new, shorter proof of Theorem 3.3.1 and new Theorems 3.3.7, 3.3.12, and Counterexample 3.3.9. We revised section 3.4, where a new short proof of exact observability inequality in given: proof of Theorem 3.4.1 and Theorems 3.4.3, 3.4.4, 3.4.8, 3.4.9 are new. Section 3.5 is new and it exposes recent progress on Carleman estimates, uniqueness and stability of the continuation for systems. In Chapter 4 we added to sections 4.5, 4.6 some new material on size evaluation of inclusionsandonsmallinclusions.Chapter5containsnewresultsonidenti?cation
Reviews / Votes
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)
More details
Series
Edition
Second Edition 2006
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Research
Edition type
Revised edition
Illustrations
XIV, 346 p.
Dimensions
Height: 23.5 cm
Width: 15.6 cm
Weight
1510 gr
ISBN-13
978-0-387-25364-0 (9780387253640)
DOI
10.1007/0-387-32183-7
Schweitzer Classification
Other editions
New editions

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Inverse Problems for Partial Differential Equations
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Additional editions

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Previous edition

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Content
Inverse Problems.- Ill-Posed Problems and Regularization.- Uniqueness and Stability in the Cauchy Problem.- Elliptic Equations: Single Boundary Measurements.- Elliptic Equations: Many Boundary Measurements.- Scattering Problems.- Integral Geometry and Tomography.- Hyperbolic Problems.- Inverse parabolic problems.- Some Numerical Methods.