Free Delivery Over $100
|
|
|||
|
||||
OverviewYoung 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 infinite dimensional case. We provide several new results in the general frame, which are new even in the finite dimensional setting, such as characterizations of convergence in measure of Young measures (Chapter 3) and compactness criteria (Chapter 4). These results are established under a different form (and with fewer details and developments) in recent papers by the same authors. We also provide new 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 Central Limit Theorem in locally convex spaces (Chapter 9). Full Product DetailsAuthor: Charles Castaing , Paul Raynaud de Fitte , Michel ValadierPublisher: Springer Imprint: Springer Edition: Softcover reprint of the original 1st ed. 2004 Volume: 571 Dimensions: Width: 15.50cm , Height: 1.70cm , Length: 23.50cm Weight: 0.516kg ISBN: 9789048165520ISBN 10: 9048165520 Pages: 320 Publication Date: 04 December 2010 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsGeneralities, 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. Applications.- Applications in Control Theory.- Semicontinuity of integral functionals using Young measures.- Stable convergence in limit theorems of probability theory.Reviews"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 for any further developments in the field."" (Georg K. Dolzmann, Mathematical Reviews, 2005k)" 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 for any further developments in the field. (Georg K. Dolzmann, Mathematical Reviews, 2005k) Author InformationTab Content 6Author Website:Countries AvailableAll regions |
||||
