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Introduction to Inverse Problems for Differential Equations

Authors: Hasanov Hasanoğlu, Alemdar, Romanov, Vladimir G.

  • First systematic and comprehensive introductory book on inverse problems for differential equations
  • Self-contained and accessible also to beginning graduate students
  • Can be used as a backbone for a lecture on inverse and ill-posed problems for partial differential equations
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Buy this book

eBook $89.00
price for USA (gross)
  • ISBN 978-3-319-62797-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.00
price for USA
  • ISBN 978-3-319-62796-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This book presents a systematic exposition of the main ideas and methods in treating inverse problems for PDEs arising in basic mathematical models, though it makes no claim to being exhaustive. Mathematical models of most physical phenomena are governed by initial and boundary value problems for PDEs, and inverse problems governed by these equations arise naturally in nearly all branches of science and engineering.

The book’s content, especially in the Introduction and Part I, is self-contained and is intended to also be accessible for beginning graduate students, whose mathematical background includes only basic courses in advanced calculus, PDEs and functional analysis. Further, the book can be used as the backbone for a lecture course on inverse and ill-posed problems for partial differential equations.

In turn, the second part of the book consists of six nearly-independent chapters. The choice of these chapters was motivated by the fact that the inverse coefficient and source problems considered here are based on the basic and commonly used mathematical models governed by PDEs. These chapters describe not only these inverse problems, but also main inversion methods and techniques. Since the most distinctive features of any inverse problems related to PDEs are hidden in the properties of the corresponding solutions to direct problems, special attention is paid to the investigation of these properties.

Table of contents (9 chapters)

  • Introduction Ill-Posedness of Inverse Problems for Differential and Integral Equations

    Hasanov Hasanoğlu, Alemdar (et al.)

    Pages 1-19

  • Functional Analysis Background of Ill-Posed Problems

    Hasanov Hasanoğlu, Alemdar (et al.)

    Pages 23-62

  • Inverse Source Problems with Final Overdetermination

    Hasanov Hasanoğlu, Alemdar (et al.)

    Pages 63-119

  • Inverse Problems for Hyperbolic Equations

    Hasanov Hasanoğlu, Alemdar (et al.)

    Pages 123-143

  • One-Dimensional Inverse Problems for Electrodynamic Equations

    Hasanov Hasanoğlu, Alemdar (et al.)

    Pages 145-162

Buy this book

eBook $89.00
price for USA (gross)
  • ISBN 978-3-319-62797-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.00
price for USA
  • ISBN 978-3-319-62796-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Introduction to Inverse Problems for Differential Equations
Authors
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-62797-7
DOI
10.1007/978-3-319-62797-7
Hardcover ISBN
978-3-319-62796-0
Edition Number
1
Number of Pages
XIII, 261
Number of Illustrations and Tables
4 b/w illustrations
Topics