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.
Saved in:
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 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Temporal Hölder continuity of the parabolic Anderson model driven by a class of time-independent Gaussian fields with rough initial conditions
by: Hui Sun, et al.
Published: (2024-12-01) -
Asymptotic behavior of a delayed stochastic logistic model with impulsive perturbations
by: Sanling Yuan, et al.
Published: (2017-09-01) -
Mean number of real zeros of a random hyperbolic polynomial
by: J. Ernest Wilkins
Published: (2000-01-01) -
The Kostant partition functions for twisted Kac-Moody algebras
by: Ranabir Chakrabarti, et al.
Published: (2000-01-01) -
Level crossings and turning points of random hyperbolic polynomials
by: K. Farahmand, et al.
Published: (1999-01-01)