Advertisement

Inverse Problems for Partial Differential Equations

  • Victor Isakov

Part of the Applied Mathematical Sciences book series (AMS, volume 127)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Victor Isakov
    Pages 1-22
  3. Victor Isakov
    Pages 23-45
  4. Victor Isakov
    Pages 211-239
  5. Victor Isakov
    Pages 241-268
  6. Victor Isakov
    Pages 269-308
  7. Victor Isakov
    Pages 309-354
  8. Victor Isakov
    Pages 355-379
  9. Back Matter
    Pages 381-406

About this book

Introduction

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)

Keywords

Inverse Problems Ill-posed Problems Carleman Estimates Uniqueness and Stability of the Continuation Remote Sensing Tomography

Authors and affiliations

  • Victor Isakov
    • 1
  1. 1.Department of Mathematics and StatisticsWichita State UniversityWichitaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-51658-5
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-51657-8
  • Online ISBN 978-3-319-51658-5
  • Series Print ISSN 0066-5452
  • Series Online ISSN 2196-968X
  • Buy this book on publisher's site