Reflected backward stochastic partial differential equations in a convex domain

Reflected backward stochastic partial differential equations in a convex domain
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凸域中的反射后向随机偏微分方程

DOI:
10.1016/j.spa.2020.05.002
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发表时间:
2020-05
影响因子:
1.4
通讯作者:
Zhang Tusheng
Zhang Tusheng
中科院分区:
数学3区
文献类型:
--
作者:
Yang Xue;Zhang Qi;Zhang Tusheng

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研究了在Rk中的凸区域上取值的反射倒向随机偏微分方程。在超抛物和抛物两种条件下研究了解的存在唯一性。在退化抛物情形下,建立了反射倒向随机偏微分方程与反射正倒向随机偏微分方程之间的联系。
This paper is concerned with the reflected backward stochastic partial differential equations, taking values in a convex domain in Rk. The existence and uniqueness of solution are studied under both the super-parabolic and parabolic conditions. In the degenerate parabolic case the connection between reflected backward stochastic partial differential equations and reflected forward backward stochastic differential equations is established.
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