Inverse problems for partial differential equations
Author(s)
Bibliographic Information
Inverse problems for partial differential equations
（Applied mathematical sciences, v. 127）
Springer, c1998
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Note
Includes bibliographical references (p. 269-282) and index
Description and Table of Contents
Description
This book is 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. The reconstruction of the interior structural parameters of machines and of the underground are also discussed together with further scientific and engineering applications. By presenting this data in a readable and informative manner, the book introduces both scientific and engineering researchers and graduate students to significant work done in this area in recent years, relating it to broader themes in mathematical analysis.
Table of Contents
Preface Table of Contents * Inverse problems * The inverse problem of gravimetry * The inverse conductivity problem * The inverse scattering * Tomography and the inverse seismic problem * Ill-posed problems and regularization * Well-and ill-posed problems * Conditional correctness. Regularization * Construction of regularizers * Convergence of regularization * Uniqueness and stability in the Cauchy problem * The backward parabolic equation * General Carleman type estimates and the Cauchy problem * Elliptic and parabolic equations.
by "Nielsen BookData"
