Path independence of additive functionals for stochastic differential equations under G-framework
作者机构:Departmen t of Mat hematics Swansea University Swansea SAI 8EN UK Center for Applied Mathematics Tianjin University Tianjin 300072 China
出 版 物:《Frontiers of Mathematics in China》 (中国高等学校学术文摘·数学(英文))
年 卷 期:2019年第14卷第1期
页 面:135-148页
核心收录:
学科分类:07[理学]
主 题:Stochastic differential equation (SDE) partial differential equation (PDE) additive functional G-SDEs G-Brownian motion nonlinear PDE
摘 要:The path independence of additive functionals for stochastic differential equations (SDEs) driven by the G-Brownian motion is characterized by the nonlinear partial differential equations. The main result generalizes the existing ones for SDEs driven by the standard Brownian motion.