On stochastic differential equations and a generalised Burgers equation

Wu, JiangLun and Yang, Wei; Zhang, Tusheng and Zhou, Xunyu, eds. (2012) On stochastic differential equations and a generalised Burgers equation. In: Stochastic Analysis and Its Applications. Interdisciplinary Mathematical Sciences, 13 . World Scientific, Singapore, pp. 425-435.

[thumbnail of On stochastic differential equations and a generalised Burgers equation]
Preview
PDF. Filename: On_stochastic_differential_equations_and_a_generalised_Burgers_equation.pdf
Final Published Version

Download (244kB)| Preview

Abstract

In this paper, we discuss a link of Itˆo’s stochastic differential equa- tions to nonlinear partial differential equations of Burgers type. Un- der certain conditions, we derive a generalised Burgers equation from a stochastic differential equation. We also give some economic inter- pretation of our result as well as the relevant conditions.