Titre : |
Variational analysis in Sobolev and BV spaces : applications to PDEs and optimization |
Type de document : |
texte imprimé |
Auteurs : |
Hedy ATTOUCH, Auteur ; Giuseppe BUTTAZZO, Auteur ; Gérard MICHAILLE, Auteur |
Editeur : |
Philadelphia : Society for Industrial and Applied Mathematics (SIAM) |
Année de publication : |
2006 |
Importance : |
634 p. |
ISBN/ISSN/EAN : |
978-0-89871-600-9 |
Note générale : |
Contents
Preface
Introduction
Bibliography
Index |
Catégories : |
Analyse fonctionnelle Calcul des variations Equations aux dérivées partielles Sobolev, Espaces de
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Index. décimale : |
515.6 Autres méthodes analytiques |
Résumé : |
BASIC VARIATIONAL PRINCIPLES
Weak solution methods in variational analysis
Abstract variational principles
Complements on measure theory
Sobolev spaces
Variational problems : some classical examples
The finite element method
Spectral analysis of the Laplacian
Convex duality and optimization
ADVANCED VARIATIONAL ANALYSIS
Spaces BV and SBV
Relaxation in Sobolev, BV, and Young measures spaces
Г-convergence and applications
Integral functionals of the calculus of variations
Application in mechanics and computer vision
Varational problems with a lack of coercivity
An introduction to shape optimization problems
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