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Title
Inverse problems for partial differential equations / Victor Isakov.
Edition
2nd ed.
ISBN
9780387321837
0387321837
9780387232188 (e-ISBN)
0387232184 (e-ISBN)
0387253645 (acid-free paper)
9780387253640 (acid-free paper)
9781489900302 (electronic bk.)
1489900306 (electronic bk.)
1441920544
9781441920546
9783319516585 (electronic bk.)
3319516582
Publication Details
New York : Springer, ©2006.
Language
English
Language Note
English.
Description
1 online resource (xiii, 344 pages) : illustrations
Item Number
10.1007/978-1-4899-0030-2 doi
10.1007/0-387-32183-7 doi
Call Number
QA374 .I83 2006eb
Dewey Decimal Classification
515/.353
Distributor No.
11408420
Summary
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.
Bibliography, etc. Note
Includes bibliographical references (pages 324-341) and index.
Access Note
Access limited to authorized users.
Digital File Characteristics
text file
PDF
Source of Description
Description based on print version record.
Series
Applied mathematical sciences (Springer-Verlag New York Inc.) ; 127.
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.
