Stochastic Dirichlet–Poisson Problem on Hilbert Spaces

被引：0
|
作者：
Sonia Chaari
Afef Ben Farah
机构：
[1] Faculty of Sciences of Bizerte,
[2] University of Carthage,undefined
来源：
Complex Analysis and Operator Theory | 2024年 / 18卷
关键词：
Dirichlet problem; Poisson problem; Hilbert space; Stochastic differential equation; Itô diffusion; Dynkin Formula; Primary 35J05; Secondary 46C05; 65C30;
D O I：
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摘要：
This paper is devoted to the study of the existence and the uniqueness of the solution of the Stochastic Dirichlet-Poisson problems on Hilbert spaces. We prove that the unique solution of this equation is given by a probabilistic formula.
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