Young Measures on Topological Spaces: With Applications in Control Theory and Probability Theory

by Michel Valadier, Charles Castaing, Paul Raynaud de Fitte, et al.

Book Overview

Classicalexamples of moreand more oscillatingreal-valued functions on a domain N ?of R are the functions u (x)=sin(nx)with x=(x, ..., x ) or the so-called n 1 1 n n]1 Rademacherfunctionson]0,1[, u (x)=r (x) = sgn(sin(2 x))(seelater3.1.4). n n They may appear as the gradients?v of minimizing sequences (v ) in some n n n?N variationalproblems. Intheseexamples, thefunctionu convergesinsomesenseto n ameasure on ? ?R, called Young measure. In Functional...

• Format: Paperback
• Language: English
• ISBN: 9048165520
• ISBN13: 9789048165520
• Release Date: December 2010
• Publisher: Springer
• Length: 320 Pages
• Weight: 1.04 lbs.
• Dimensions: 0.7" x 6.1" x 9.2"