Moreau–Yosida approximation and convergence of Hamiltonian systems on Wasserstein space
نویسندگان
چکیده
منابع مشابه
Differential Forms on Wasserstein Space and Infinite-dimensional Hamiltonian Systems
Let M denote the space of probability measures on R endowed with the Wasserstein metric. A differential calculus for a certain class of absolutely continuous curves in M was introduced in [4]. In this paper we develop a calculus for the corresponding class of differential forms on M. In particular we prove an analogue of Green’s theorem for 1-forms and show that the corresponding first cohomolo...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2013
ISSN: 0022-0396
DOI: 10.1016/j.jde.2013.01.011