Inverse Problems for Partial Differential Equations
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Sprache:Englisch
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Format
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Erscheinungsdatum
02.06.2006
Verlag
Springer New YorkSeitenzahl
346 (Printausgabe)
Dateigröße
2539 KB
Auflage
Second Edition 2006
Sprache
Englisch
EAN
9780387321837
Since the first publication of this book, the rapidly progressing field of inverse problems witnessed changes and new developments. This book reflects these changes and describes the contemporary state of the theory and some numerical aspects of inverse problems in partial differential equations. Currently, there are hundreds of publications containing new and interesting results on the topic of inverse problems. This book successfully collects and presents many of them in a readable and informative form. This second edition is considerably expanded and some concepts (like pseudo-convexity) or proofs are simplified. New material is added to reflect recent progress in theory of inverse problems.
This useful and stimulating material is intended for a reader with a moderate knowledge of partial differential equations, of the Fourier transform, and of basic functional analysis. It formulates basic inverse problems, discusses regularization, gives a short review of uniqueness in the Cauchy problem, and includes several exercises. 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. Parts of the book in a preliminary form have been presented as graduate courses at a number of universities.
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