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

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

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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"

Related Subjects

Functional Analysis Geometry & Topology Linear Programming Math Mathematical Analysis Mathematics Probability & Statistics Pure Mathematics Science & Math Topology

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

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