Relaxation in Optimization Theory and Variational Calculus

Download or read book Relaxation in Optimization Theory and Variational Calculus written by Tomáš Roubiček and published by Walter de Gruyter. This book was released on 1997 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 copyrighted by Book News, Inc., Portland, OR