POISSON WHITE NOISE DRIVEN SPACE-FRACTIONAL DIFFUSION EQUATIONS

被引：0

作者：

Zhang, Xia ^{[1
]}

Shahzad, Khattak ^{[1
]}

Fu, Yongqiang ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2021年 / 22卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Optimal control; Poisson white noise driven; space fractional diffusion equation; condition for optimality; fractional Sobolev space;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study Poisson white noise driven space fractional diffusion equations. We generalize the results in the paper of Albeverioa, Wu and Zhang [Stochastic Processes and their Applications, 74(1998), 21-36] to high dimension and fractional Laplacian operators, where the existence and uniqueness of solution are established. Moreover we show the existence of an optimal control for a control problem of the Poisson white noise driven space fractional diffusion equations.

引用

页码：393 / 406

页数：14

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