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Nonlinear calculus of variations for differential flows on manifolds: geometrically correct introduction of covariant and stochastic variations

We consider flows, generated by nonlinear differential equations on manifold that could also contain random terms and correspond to the second order parabolic equations. We demonstrate that the rigorous statement of the regularity problems for differential flows on noncompact manifolds requires the...

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Bibliographic Details
Main Authors: Antoniouk, A.Val, Antoniouk, A.Vict.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2004
Series:Український математичний вісник
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/124626
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