Inverse problems for partial differential equations
Author(s)
Bibliographic Information
Inverse problems for partial differential equations
（Applied mathematical sciences, v. 127）
Springer, c2017
3rd ed
Available at / 18 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
ISA||6||2(3)200037073067
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Note
Includes bibliographical references (p. 385-403) and index
Description and Table of Contents
Description
A comprehensive description of the current theoretical and numerical aspects of inverse problems in partial differential equations. Applications include recovery of inclusions from anomalies of their gravity fields, reconstruction of the interior of the human body from exterior electrical, ultrasonic, and magnetic measurement. By presenting the data in a readable and informative manner, the book 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.
Table of Contents
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 and Stationary Waves.- Integral Geometry and Tomography.- Hyperbolic Problems.- Inverse Parabolic Problems.- Some Numerical Methods.- Appendix: Functional Spaces.
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