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Doklady Mathematics

, Volume 96, Issue 3, pp 574–577 | Cite as

Feynman formulas for nonlinear evolution equations

  • Yu. N. Orlov
  • V. Zh. Sakbaev
  • O. G. SmolyanovEmail author
Mathematics

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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Copyright information

© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  • Yu. N. Orlov
    • 1
    • 2
    • 3
  • V. Zh. Sakbaev
    • 2
    • 3
  • O. G. Smolyanov
    • 3
    • 4
    Email author
  1. 1.Keldysh Institute of Applied MathematicsRussian Academy of SciencesMoscowRussia
  2. 2.RUDN UniversityMoscowRussia
  3. 3.Moscow Institute of Physics and Technology (State University)Dolgoprudnyi, Moscow oblastRussia
  4. 4.Mechanics and Mathematics FacultyMoscow State UniversityMoscowRussia

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