NULL CONTROLLABILITY FOR FOURTH ORDER STOCHASTIC PARABOLIC EQUATIONS

被引：5

作者：

Lu, Q., I ^{[1
]}

Wang, Y. U. ^{[1
]}

机构：

[1] Sichuan Univ, Sch Math, Chengdu, Peoples R China

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2022年 / 60卷 / 03期

关键词：

fourth order stochastic parabolic equation; null controllability; observability; Car-leman estimate; KURAMOTO-SIVASHINSKY SYSTEM; GLOBAL CARLEMAN ESTIMATE;

D O I：

10.1137/22M1472620

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We establish the null controllability for fourth order stochastic parabolic equations. Utilizing the duality argument, the null controllability is reduced to the observability for fourth order backward stochastic parabolic equations, and the desired observability estimate is obtained by a new global Carleman estimate. Our Carleman estimate is based on a new fundamental identity for a fourth order stochastic parabolic operator.

引用

页码：1563 / 1590

页数：28

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