NULL CONTROLLABILITY FOR STOCHASTIC PARABOLIC EQUATIONS WITH ROBIN BOUNDARY CONDITIONS

被引：0

作者：

Boulite, Said ^{[1
]}

Elgrou, Abdellatif ^{[2
]}

Maniar, Lahcen ^{[2
,3
]}

机构：

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

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

[3] Univ Mohammed VI Polytech, Vanguard Ctr, Benguerir, Morocco

来源：

EVOLUTION EQUATIONS AND CONTROL THEORY | 2025年

关键词：

Stochastic parabolic equations; Carleman estimates; controllability; observability; Robin boundary conditions; HEAT-EQUATION;

D O I：

10.3934/eect.2025020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

. We establish the null controllability of forward and backward linear stochastic parabolic equations with linear Robin (or Fourier) boundary conditions. These equations incorporate zero and first order terms with bounded coefficients. To prove our null controllability results, a key tool will be the derivation of two new global Carleman estimates for the weak solutions of the corresponding adjoint equations in negative Sobolev space. These Carleman estimates are established using a duality method.

引用

页数：31

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