Relaxation in Optimization Theory and Variational Calculus

Tomáš Roubíček

Published by De Gruyter 2020

Relaxation in Optimization Theory and Variational Calculus

Tomáš Roubíček

Volume 4 in the series De Gruyter Series in Nonlinear Analysis and Applications

https://doi.org/10.1515/9783110590852

Overview
Contents

About this book

The relaxation method has enjoyed an intensive development during many decades and this new edition of this comprehensive text reflects in particular the main achievements in the past 20 years. Moreover, many further improvements and extensions are included, both in the direction of optimal control and optimal design as well as in numerics and applications in materials science, along with an updated treatment of the abstract parts of the theory.

A comprehensive treatment of the relaxation method in optimization and the calculus of variations
Updated and revised edition covering all recent developments
Of interest to researchers and graduate students in applied mathematics

Author / Editor information

Tomáš Roubiček, Charles University and Czech Academy of Sciences, Prague, Czech Republic.

Reviews

"Summarizing, the book seems very well written and of interest to anyone who does research in the field of optimization, [..]." Mathematical Reviews

"Although my acquaintance with the book can be measured in (few) weeks, I have already found it very useful and an almost mandatory source of information in the area it covers; this is due not only to the results it actually contains but to the extensive (and carefully commented) bibliography. It will be just as useful to anybody working in calculus of variations, control theory and measure solutions of partial differential equations." Zentralblatt für Mathematik

Topics

Frontmatter Publicly Available Download PDF	I
Contents Publicly Available Download PDF	VII
Preface Tomás Roubíček Publicly Available Download PDF	XI
Preface to the second edition Tomás Roubíček Publicly Available Download PDF	XVIII
1 Background Generalities Requires Authentication Unlicensed Licensed Download PDF	1
2 Theory of Convex Compactifications Requires Authentication Unlicensed Licensed Download PDF	81
3 Young Measures and Their Generalizations Requires Authentication Unlicensed Licensed Download PDF	117
4 Relaxation in Optimization Theory Requires Authentication Unlicensed Licensed Download PDF	243
5 Relaxation in Variational Calculus: Scalar Case Requires Authentication Unlicensed Licensed Download PDF	382
6 Relaxation in Variational Calculus: Vectorial Case Requires Authentication Unlicensed Licensed Download PDF	435
7 Relaxation in Game Theory Requires Authentication Unlicensed Licensed Download PDF	483
8 Relaxation in evolutionary problems Requires Authentication Unlicensed Licensed Download PDF	513
Bibliography Requires Authentication Unlicensed Licensed Download PDF	539
List of Symbols Requires Authentication Unlicensed Licensed Download PDF	571
Index Requires Authentication Unlicensed Licensed Download PDF	577

(Deutsch)

Language: English
Publisher: De Gruyter
Edition: 2nd Revised and Extended Edition
Audience: Researchers and graduate students in applied mathematics.
Pages
- Front matter: 19
- Main content: 582
Illustrations
- Illustrations: 52
- Tables: 4
Keywords: Optimierung; Relaxationsmethode; Spieltheorie; Variationsrechnung; Young-Maß

eBook

Published: November 9, 2020
ISBN: 9783110590852

Hardcover

Published: December 7, 2020
ISBN: 9783110589627