兰州大学机构库 >数学与统计学院
随机抛物方程的零控制问题
Alternative TitleNull control problems of stochastic parabolic equations
潘子涵
Thesis Advisor何源
2018-04-20
Degree Grantor兰州大学
Place of Conferral兰州
Degree Name学士
Keyword正向和倒向随机抛物方程 可观测性估计 Carleman 估计 零可控性
Abstract

本文是作者在阅读的关于正向和倒向随机抛物方程的零可控性问题的文献基础上做的关于此问题的文献综述. 主要内容是通过全局 Carleman 估计对具有一般系数的线性正向和倒向随机抛物方程建立了可观测性估计, 进而建立关于随机抛物方程的 Carleman 不等式, 进一步证明了该类随机抛物方程解的零可控性. 最后介绍了这种零可控性目前的一些研究展望和应用.

Other Abstract

This paper is a review of the work on the null controllability of forward and backward stochastic parabolic equations. The main content is to establish the observability estimates through the global Carleman estimates for linear backward and forward stochstic parabolic equations with general coefficients, which gives the Carleman inequalities for forward and backward stochastic parabolic equations. Finally, null controllability of stochastic forward and backward parabolic equations are derived respectively. Then, some applications and research prospect of this kind of null controllability currently are introduced as a supplement.

URL查看原文
Language中文
Document Type学位论文
Identifierhttps://ir.lzu.edu.cn/handle/262010/224660
Collection数学与统计学院
Recommended Citation
GB/T 7714
潘子涵. 随机抛物方程的零控制问题[D]. 兰州. 兰州大学,2018.
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