Feynman formulas for nonlinear evolution equations

DOI10.1134/S1064562417060126zbMath1458.46030OpenAlexW2782337315MaRDI QIDQ1707147

V. Zh. Sakbaev, Yu. N. Orlov, O. G. Smolyanov

Publication date: 28 March 2018

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562417060126

zbMATH Keywords

generalized measuresnonlinear random flows

Mathematics Subject Classification ID

Measures and integration on abstract linear spaces (46G12) Random dynamical systems (37H99) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

Related Items

Nonlinear semigroups built on generating families and their Lipschitz sets, The Method of Chernoff Approximation, Operator approach to weak convergence of measures and limit theorems for random operators, Randomized Hamiltonian mechanics

Cites Work

• Infinite-dimensional equation Liouville with respect to measures
• Change of variable formulas for infinite-dimensional distributions
• Averaging of random walks and shift-invariant measures on a Hilbert space
• Transformations of Feynman integrals under nonlinear transformations of the phase space
• On the law of large numbers for compositions of independent random semigroups
• Gradient blow-up of solutions to the Cauchy problem for the Schrödinger equation
• Unbounded random operators and Feynman formulae
• Korteweg-de Vries and nonlinear Schrödinger equations: qualitative theory