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Some geometric properties of the set of generalized Young functionals

Published online by Cambridge University Press:  14 November 2011

Martin Kružík  and
Tomáš Roubíček
Martin Kružík
Affiliation:
Institute of Information Theory and Automation, Academy of Sciences, Pod vodárenskou věží 4, CZ-182 08 Praha 8, Czech Republic
Tomáš Roubíček
Affiliation:
Mathematical Institute, Charles University, Sokolovská 83, CZ-186 00 Praha 8, Czech Republic and Institute of Information Theory and Automation, Academy of Sciences, Pod vodárenskou věží 4, CZ-182 08 Praha 8, Czech Republic
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Abstract

This paper studies geometric properties, in particular extreme points and rays, of various generalizations of Young measures. Applications of the knowledge of extreme points are illustrated on existence results for optimal control problems and on various convergence results for Young measures by using the Choquet theory.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 129 , Issue 3 , 1999 , pp. 601 - 616
Copyright
Copyright © Royal Society of Edinburgh 1999

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