Inverse Problems for Partial Differential Equations

Inverse Problems for Partial Differential Equations

by Victor Isakov

Paperback(Softcover reprint of the original 3rd ed. 2017)

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Overview

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.

Product Details

ISBN-13: 9783319847108
Publisher: Springer International Publishing
Publication date: 07/20/2018
Series: Applied Mathematical Sciences , #127
Edition description: Softcover reprint of the original 3rd ed. 2017
Pages: 406
Product dimensions: 6.10(w) x 9.25(h) x (d)

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.- Integral Geometry and Tomography.- Hyperbolic Problems.- Inverse parabolic problems.- Some Numerical Methods.

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