An asymptotic expansion of the solution of a semi-linear partial differential equation implied by a nonlinear Feynman–Kac formula

This paper introduces an asymptotic expansion for the smooth solution of a semi-linear partial differential equation. Our scheme is based on Itô’s formula, Taylor’s expansion, nonlinear Feynman–Kac formula and some algebras.

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Bibliographic Details
Main Author: Kaori Okuma
Format: Article
Language:English
Published: World Scientific Publishing 2024-12-01
Series:International Journal of Mathematics for Industry
Subjects:
Online Access:https://www.worldscientific.com/doi/10.1142/S2661335224500023
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