Relaxation in Optimization Theory and Variational Calculus
Description
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.
Reviews / Votes
"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
More details
Other editions
Additional editions
Person
Tomás Roubicek , Charles University and Czech Academy of Sciences, Prague, Czech Republic.
Content
- Intro
- Contents
- Preface
- Preface to the second edition
- 1 Background Generalities
- 2 Theory of Convex Compactifications
- 3 Young Measures and Their Generalizations
- 4 Relaxation in Optimization Theory
- 5 Relaxation in Variational Calculus: Scalar Case
- 6 Relaxation in Variational Calculus: Vectorial Case
- 7 Relaxation in Game Theory
- 8 Relaxation in evolutionary problems
- Bibliography
- List of Symbols
- Index
