Insensitizing controls for a forward stochastic heat equation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:384

Article

Yan, Yuqing¹  Sun, Fengyun² 

[1] Zhejiang Univ Technol, Coll Sci, Hangzhou 310023, Zhejiang, Peoples R China

[2] Yantai Univ, Dept Math & Informat Sci, Yantai 264005, Peoples R China

关键词: Insensitizing controls;    Forward stochastic heat equations;    Global Carleman estimate;   

DOI  :  10.1016/j.jmaa.2011.05.058

来源: Elsevier

【 摘 要 】

The existence of insensitizing controls for a forward stochastic heat equation is considered. To develop the duality, we obtain observability estimates for linear forward and backward coupled stochastic heat equations with general coefficients, by means of some global Carleman estimates. Furthermore, the constant in the observability inequality is estimated by an explicit function of the norm of the involved coefficients in the equation. As far as we know, our paper is the first one to address the problem of insensitizing controls for stochastic partial differential equations. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free