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Young measures on topological spaces : with applications in control theory and probability theory

Author: Charles Castaing; Paul Raynaud de Fitte; Michel Valadier
Publisher: Dordrecht ; Boston : Kluwer Academic Publishers, ©2004.
Series: Mathematics and its applications (Kluwer Academic Publishers), v. 571.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Young measures are presented in a general setting which includes finite and for the first time infinite dimensional spaces: the fields of applications of Young measures (Control Theory, Calculus of Variations, Probability Theory ...) are often concerned with problems in infinite dimensional settings. The theory of Young measures is now well understood in a finite dimensional setting, but open problems remain in the  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Castaing, Charles, 1932-
Young measures on topological spaces.
Dordrecht ; Boston : Kluwer Academic Publishers, ©2004
(DLC) 2004050401
(OCoLC)55488159
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Charles Castaing; Paul Raynaud de Fitte; Michel Valadier
ISBN: 1402019645 9781402019647 9781402019630 1402019637
OCLC Number: 57026224
Description: 1 online resource (xi, 320 pages).
Contents: Preface --
Generalities, Preliminary results --
Young Measures, the four Stable Topologies: S, M, N, W --
Convergence in Probability of Young Measures (with some applications to stable convergence) --
Compactness --
Strong Tightness --
Young Measures on Banach Spaces. Application --
Applications in Control Theory --
Semicontinuity of Integral Functionals using Young Measures --
Stable Convergence in Limit Theorems of Probability Theory.
Series Title: Mathematics and its applications (Kluwer Academic Publishers), v. 571.
Responsibility: by Charles Castaing, Paul Raynaud de Fitte and Michel Valadier.
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Abstract:

Aims to provides applications to Visintin and Reshetnyak type theorems (Chapters 6 and 8), existence of solutions to differential inclusions (Chapter 7), dynamical programming (Chapter 8) and the  Read more...

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From the reviews:"This book presents a wealth of results on Young measures on topological spaces in a very general framework. It is very likely that it will become the reference and starting point Read more...

 
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