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Young measures on topological spaces PDF

327 Pages·2004·1.693 MB·English
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by Castaing C., Raynaud de Fitte P., Valadier M.| 2004| 327 pages| 1.693| English

About Young measures on topological spaces

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 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).

Detailed Information

Author:Castaing C., Raynaud de Fitte P., Valadier M.
Publication Year:2004
ISBN:9781402019630
Pages:327
Language:English
File Size:1.693
Format:PDF
Price:FREE
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