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Multifunctions with values in a space of probability measures

โœ Scribed by C.J Himmelberg; F.S Van Vleck


Book ID
107800340
Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
236 KB
Volume
50
Category
Article
ISSN
0022-247X

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Hamiltonian ODEs in the Wasserstein spac
โœ Luigi Ambrosio; Wilfrid Gangbo ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 299 KB ๐Ÿ‘ 1 views

In this paper we consider a Hamiltonian H on P 2 (R 2d ), the set of probability measures with finite quadratic moments on the phase space R 2d = R d ร— R d , which is a metric space when endowed with the Wasserstein distance W 2 . We study the initial value problem dยต t /dt +โˆ‡โ€ข(J d v t ยต t ) = 0, wh