Email this article Feynman formulas for nonlinear evolution equations
- Authors: Orlov Y.N.1,2,3, Sakbaev V.Z.2,3, Smolyanov O.G.3,4
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Affiliations:
- Keldysh Institute of Applied Mathematics
- RUDN University
- Moscow Institute of Physics and Technology (State University)
- Mechanics and Mathematics Faculty
- Issue: Vol 96, No 3 (2017)
- Pages: 574-577
- Section: Mathematics
- URL: https://journal-vniispk.ru/1064-5624/article/view/225421
- DOI: https://doi.org/10.1134/S1064562417060126
- ID: 225421
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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]).
About the authors
Yu. N. Orlov
Keldysh Institute of Applied Mathematics; RUDN University; Moscow Institute of Physics and Technology (State University)
Email: smolyanov@yandex.ru
Russian Federation, Moscow, 125047; Moscow, 117198; Dolgoprudnyi, Moscow oblast, 141700
V. Zh. Sakbaev
RUDN University; Moscow Institute of Physics and Technology (State University)
Email: smolyanov@yandex.ru
Russian Federation, Moscow, 117198; Dolgoprudnyi, Moscow oblast, 141700
O. G. Smolyanov
Moscow Institute of Physics and Technology (State University); Mechanics and Mathematics Faculty
Author for correspondence.
Email: smolyanov@yandex.ru
Russian Federation, Dolgoprudnyi, Moscow oblast, 141700; Moscow, 119991
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