Techniques of Variational Analysis

Jonathan M. Borwein, Qiji J. Zhu - Collection CMS Books in Mathematics

362 pages, parution le 17/08/2005

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Résumé

Variational arguments are classical techniques whose use can be traced back to the early development of the calculus of variations and further. Rooted in the physical principle of least action, they have wide applications in diverse fields. This book provides a concise account of the essential tools of infinite-dimensional first-order variational analysis. These tools are illustrated by applications in many different parts of analysis, optimization and approximation, dynamical systems, mathematical economics and elsewhere. Much of the material in the book grows out of talks and short lecture series given by the authors in the past several years. Thus, chapters in this book can easily be arranged to form material for a graduate level topics course. A sizeable collection of suitable exercises is provided for this purpose. In addition, this book is also a useful reference for researchers who use variational techniques - or just think they might like to.

Sommaire

Introduction
Variational Principles
Variational Techniques in Subdifferential Theory
Variational Techniques in Convex Analysis
Variational Techniques and Multifunctions
Variational Principles in Nonlinear Functional Analysis
Variational Techniques in the Presence of Symmetry
References
Index

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Jonathan M. Borwein, Qiji J. Zhu
Collection	CMS Books in Mathematics
Parution	17/08/2005
Nb. de pages	362
Format	16 x 24
Couverture	Relié
Poids	644g
Intérieur	Noir et Blanc
EAN13	9780387242989
ISBN13	978-0-387-24298-9