Inverse Problems for Partial Differential Equations - Couverture rigide

Isakov, Victor

Couverture rigide

ISBN 10 : 0387253645 ISBN 13 : 9780387253640

Editeur : Springer-Verlag New York Inc., 2005

Synopsis

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.

A propos du livre

Présentation de l'éditeur

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.

Revue de presse

"The first edition of this excellent book appeared in 1998 and became a standard reference for everyone interested in analysis and numerics of inverse problems in partial differential equations. ... The second edition is considerably expanded and reflects important recent developments in the field ... . Some of the research problems from the first edition have been solved ... ." --Johannes Elschner, Zentralblatt MATH, Vol. 1092 (18), 2006

Détails de l'édition

• Éditeur: Springer-Verlag New York Inc.
• Date d'édition: 2005
• Langue: anglais
• ISBN 10: 0387253645
• ISBN 13: 9780387253640
• Reliure: Relié
• Numéro d'édition: 2
• Nombre de pages: 346
• Coordonnées du fabricant: non disponible
• Personne responsable: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Allemagne