Authors:
- Covers most important recent developments in inverse problems
- Presented in a readable and informative manner
- Introduces both scientific and engineering researchers as well as graduate students to the significant work done in this area in recent years, relating it to broader themes in mathematical analysis
- Includes current open research problems
- Includes supplementary material: sn.pub/extras
Part of the book series: Applied Mathematical Sciences (AMS, volume 127)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
About this book
This third edition expands upon the earlier edition by adding nearly 40 pages of new material reflecting the analytical and numerical progress in inverse problems in last 10 years. As in the second edition, the emphasis is on new ideas and methods rather than technical improvements. These new ideas include use of the stationary phase method in the two-dimensional elliptic problems and of multi frequencies\temporal data to improve stability and numerical resolution. There are also numerous corrections and improvements of the exposition throughout.
This book is intended for mathematicians working with partial differential equations and their applications, physicists, geophysicists, and financial, electrical, and mechanical engineers involved with nondestructive evaluation, seismic exploration, remote sensing, and various kinds of tomography.
Review 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)
Reviews
Authors and Affiliations
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Department of Mathematics and Statistics, Wichita State University, Wichita, USA
Victor Isakov
Bibliographic Information
Book Title: Inverse Problems for Partial Differential Equations
Authors: Victor Isakov
Series Title: Applied Mathematical Sciences
DOI: https://doi.org/10.1007/978-3-319-51658-5
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2017
Hardcover ISBN: 978-3-319-51657-8Published: 03 March 2017
Softcover ISBN: 978-3-319-84710-8Published: 21 July 2018
eBook ISBN: 978-3-319-51658-5Published: 24 February 2017
Series ISSN: 0066-5452
Series E-ISSN: 2196-968X
Edition Number: 3
Number of Pages: XV, 406
Number of Illustrations: 4 b/w illustrations
Topics: Partial Differential Equations, Computational Mathematics and Numerical Analysis, Theoretical, Mathematical and Computational Physics, Remote Sensing/Photogrammetry