Null Controllability for Stochastic Parabolic Equations Coupled by First and Zero Order Terms

被引：3

作者：

Baroun, Mahmoud ^{[1
]}

Boulite, Said ^{[2
]}

Elgrou, Abdellatif ^{[1
]}

Maniar, Lahcen ^{[1
]}

机构：

[1] Cadi Ayyad Univ, Fac Sci Semlalia, LMDP, UMMISCO IRD UPMC, PB 2390, Marrakech, Morocco

[2] Cadi Ayyad Univ, Natl Sch Appl Sci, LMDP, UMMISCO IRD UPMC, PB 575, Marrakech, Morocco

来源：

APPLIED MATHEMATICS AND OPTIMIZATION | 2025年 / 91卷 / 02期

关键词：

Null controllability; Stochastic parabolic equations; Carleman estimates; Observability;

D O I：

10.1007/s00245-025-10231-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the null controllability of forward and backward linear stochastic parabolic equations with first and zero order coupling terms, and with bounded coefficients. The null controllability results rely on novel Carleman estimates for the backward and forward adjoint equations, established through the application of the duality technique. In doing so, we resolve an open question (see Remark 2.2 in [Tang and Zhang in SIAM J Control Optim 48:2191-2216, 2009]). Moreover, we provide more accurate estimates for the null-control costs.

引用

页数：37

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