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Feynman formulas for nonlinear evolution equations

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Abstract

Transformations of measures, generalized measures, and functions generated by evolution differential equations on a Hilbert space E are studied. In particular, by using Feynman formulas, a procedure for averaging nonlinear random flows is described and an analogue of the law of large number for such flows is established (see [1, 2]).

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Correspondence to O. G. Smolyanov.

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Original Russian Text © Yu.N. Orlov, V.Zh. Sakbaev, O.G. Smolyanov, 2017, published in Doklady Akademii Nauk, 2017, Vol. 477, No. 3, pp. 275–279.

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Orlov, Y.N., Sakbaev, V.Z. & Smolyanov, O.G. Feynman formulas for nonlinear evolution equations. Dokl. Math. 96, 574–577 (2017). https://doi.org/10.1134/S1064562417060126

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  • DOI: https://doi.org/10.1134/S1064562417060126

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