Observability Estimates and Null Controllability for Forward and Backward Linear Stochastic Kuramoto-Sivashinsky Equations

Observability Estimates and Null Controllability for Forward and Backward Linear Stochastic Kuramoto-Sivashinsky Equations
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DOI：
10.1137/130943820
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发表时间：
2015-02
期刊：
SIAM J. Control. Optim.
影响因子：
--
通讯作者：
Peng Gao;Mo Chen;Yong Li
Peng Gao;Mo Chen;Yong Li
中科院分区：
其他
文献类型：
--
作者：
Peng Gao;Mo Chen;Yong Li

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本文讨论了带随机噪声的正、倒向线性随机Kuramoto-Sivashinsky方程的能观性估计和零能控性。重点是建立随机四阶向前和向后抛物方程的Carleman估计。
In this paper we discuss the observability estimates and the null controllability of forward and backward linear stochastic Kuramoto--Sivashinsky equations with random noise. The key point is to establish the Carleman estimates for stochastic fourth order forward and backward parabolic equations.