Recent Developments in Well-Posed Variational Problems
Author:   Roberto Lucchetti ,  Julian Revalski
Publisher:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 1995
Volume:   331
ISBN:  

9789048145782


Pages:   268
Publication Date:   06 December 2010
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Recent Developments in Well-Posed Variational Problems


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Overview

The increasing complexity of mathematical models, and the related need to introduce simplifying assumptions and numerical approximations, has led to the need to consider approximate solutions. When dealing with any mathematical model, some of the basic questions to be asked are whether the solution is stable to perturbations, what the approximate solutions are, and if the set of approximate solutions is close to the original solution set. The interrelationships between these aspects are also of theoretical interest. Such concepts are described in the present volume, which emphasizes the concepts of approximate solution, well-posedness and stability in optimization, calculus of variations, optimal control, and the mathematics of conflict (e.g. game theory and vector optimization). The most recent developments are covered. Audience: Researchers and graduate students studying variational problems, nonlinear analysis, optimization, and game theory.

Full Product Details

Author:   Roberto Lucchetti ,  Julian Revalski
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 1995
Volume:   331
Dimensions:   Width: 15.50cm , Height: 1.40cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9789048145782


ISBN 10:   9048145783
Pages:   268
Publication Date:   06 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

A Survey on Old and Recent Results about the Gap Phenomenon in the Calculus of Variations.- The Minimax Approach to the Critical Point Theory.- Smooth Variational Principles and non Smooth Analysis in Banach Spaces.- Characterizations of Lipschitz Stability in Optimization.- Generic Well-posedness of Optimization Problems and the Banach-Mazur Game.- Set-valued Interpolation, Differential Inclusions, and Sensitivity in Optimization.- Well-posedness in Vector Optimization.- Hypertopologies and Applications.- Well-posedness for Nash equilibria and Related Topics.- Various Aspects of Well-posedness of Optimization Problems.- Well-posed Problems in the Calculus of Variations.

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