Stochastic Ditichlet-Poisson Problem on Hilbert Spaces

被引：0

作者：

Chaari, Sonia ^{[1
]}

Ben Farah, Afef ^{[1
]}

机构：

[1] Univ Carthage, Fac Sci Bizerte, Zarzouna, Tunisia

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2024年 / 18卷 / 01期

关键词：

Dirichlet problem; Poisson problem; Hilbert space; Stochastic differential equation; Ito diffusion; Dynkin Formula;

D O I：

10.1007/s11785-023-01438-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：11