NULL CONTROLLABILITY FOR A CLASS OF STOCHASTIC SINGULAR PARABOLIC EQUATIONS WITH THE CONVECTION TERM

被引：4

作者：

Yan, Lin ^{[1
]}

Wu, Bin ^{[1
]}

机构：

[1] Nanjing Univ Informat Sci & Technol, Sch Math & Stat, Nanjing 210044, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2022年 / 27卷 / 06期

关键词：

Stochastic singular parabolic equation; Carleman estimate; null controllability; HEAT-EQUATION; CARLEMAN ESTIMATE; DIFFUSION;

D O I：

10.3934/dcdsb.2021182

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper concerns the null controllability for a class of stochastic singular parabolic equations with the convection term in one dimensional space. Due to the singularity, we first transfer to study an approximate nonsingular system. Next we establish a new Carleman estimate for the backward stochastic singular parabolic equation with convection term and then an observability inequality for the adjoint system of the approximate system. Based on this observability inequality and an approximate argument, we obtain the null controllability result.

引用

页码：3213 / 3240

页数：28

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