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- Title
Feynman Formulas for Solutions to Evolution Equations in Domains of Multidimensional Ramified Surfaces.
- Authors
Dubravina, V. A.
- Abstract
Solutions of second-order parabolic differential equations for functions defined in domains of a K ramified surface in the class L2(K) are obtained. With the help of Chernoff's theorem, such solutions (if they exist) can be represented in the form of Lagrangian Feynman formulas, i.e., in the form of limits of integrals over Cartesian powers of the configuration space as the number of factors tends to infinity.
- Subjects
NUMERICAL solutions to evolution equations; FEYNMAN integrals; MATHEMATICAL formulas; LAGRANGIAN functions; PARABOLIC differential equations; CONFIGURATION space
- Publication
Doklady Mathematics, 2018, Vol 98, Issue 3, p612
- ISSN
1064-5624
- Publication type
Article
- DOI
10.1134/S1064562418070220