Controllability of a backward stochastic cascade system of coupled parabolic heat equations by one control force

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-01-01 DOI:10.3934/eect.2022037

Mohamed Fadili

引用次数: 1

Abstract

This paper is devoted to the null controllability of a cascade system of \begin{document}$ m $\end{document} coupled backward stochastic heat equations governed by a unique distributed control force, where \begin{document}$ m\geq 2 $\end{document}. This task is obtained by means of proving a suitable observability estimate for the dual system of the controlled system.

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一个控制力对耦合抛物热方程的倒向随机级联系统的可控性

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.