Relaxation in Optimization Theory and Variational Calculus

by Tomás Roubícek

Overview

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.

Product Details

ISBN-13:	9783110589627
Publisher:	De Gruyter
Publication date:	12/07/2020
Series:	De Gruyter Series in Nonlinear Analysis and Applications , #4
Edition description:	2nd Revised and Extended Edition
Pages:	601
Product dimensions:	6.69(w) x 9.45(h) x 0.00(d)
Age Range:	18 Years

About the Author

Tomáš Roubiček, Charles Universityand Czech Academy of Sciences, Prague, Czech Republic.

Editorial 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

From the Publisher

Introduces applied mathematicians and graduate students to an original relaxation method based on a continuous extension of various optimization problems relating to convex compactification; it can be applied to problems in optimal control theory, the calculus of variations, and non-cooperative game theory. Reviews the background and summarizes the general theory of convex compactifications, then uses it to obtain convex, locally compact envelopes of the Lebesague and Sobolev spaces involved in concrete problems. The nontrivial envelopes cover the classical Young measures as well as various generalizations of them, which can record the limit behavior of fast oscillation and concentration effects. Annotation c. by Book News, Inc., Portland, Or.

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