Introduction to Inverse Problems for Differential Equations (Anglais)

Alemdar Hasanov Hasanoğlu (Auteur principal), Vladimir G. Romanov (Auteur principal)

Livre | Format : Livre relié | Editeur : SPRINGER | Date de parution : 01/01/2017

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Alerte dispo

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Alerte dispo

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Résumé

This book presents a systematic exposition of the main ideas and methods in treating inverse problems for PDEs arising in basic mathematical models, though it makes no claim to being exhaustive. Mathematical models of most physical phenomena are governed by initial and boundary value problems for PDEs, and inverse problems governed by these equations arise naturally in nearly all branches of science and engineering.

The book's content, especially in the Introduction and Part I, is self-contained and is intended to also be accessible for beginning graduate students, whose mathematical background includes only basic courses in advanced calculus, PDEs and functional analysis. Further, the book can be used as the backbone for a lecture course on inverse and ill-posed problems for partial differential equations.

In turn, the second part of the book consists of six nearly-independent chapters. The choice of these chapters was motivated by the fact that the inverse coefficient and source problems considered here are based on the basic and commonly used mathematical models governed by PDEs. These chapters describe not only these inverse problems, but also main inversion methods and techniques. Since the most distinctive features of any inverse problems related to PDEs are hidden in the properties of the corresponding solutions to direct problems, special attention is paid to the investigation of these properties.

Détails

Plus d’information
EAN 9783319627960
ISBN 3319627961
Contributeurs Alemdar Hasanov Hasanoğlu (Auteur principal), Vladimir G. Romanov (Auteur principal)
Format Livre relié
Support Non
Éditeur SPRINGER
Langue Anglais
Largeur 15.5 cm
Longueur 23.5 cm
Épaisseur 1.8 cm
Poids 5.384 kg
Impression à la demande Non
Catégories Livres, Équations différentielles 

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