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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Veröffentlicht in:Український математичний вісник
Datum:2004
Hauptverfasser: Antoniouk, A.Val, Antoniouk, A.Vict.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут прикладної математики і механіки НАН України 2004
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/124626
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Nonlinear calculus of variations for differential flows on manifolds: geometrically correct introduction of covariant and stochastic variations / A.Val. Antoniouk, A.Vict. Antoniouk // Український математичний вісник. — 2004. — Т. 1, № 4. — С. 449-484. — Бібліогр.: 23 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine