具有反平方势和动态边界条件的热方程的脉冲可控性

IF 1.6 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

IMA Journal of Mathematical Control and Information Pub Date : 2023-05-10 DOI:10.1093/imamci/dnad012

M. Baroun, Hind El Baggari, Ilham Ouled Driss, S. Boulite

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引用次数: 0

摘要

本文研究了半径为$R_{0}=\left (\frac{4}{3}\right )^{\frac{3}{2}}$的球体$B(0, R_{0})$在动态边界条件下具有平方反比势的热方程的零近似脉冲可控性。为了达到这个目的，我们使用卡尔曼换向子方法来显示一个对数凸性估计，该估计基于一个可观察性不等式在一个时刻。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Impulse controllability for the heat equation with inverse square potential and dynamic boundary conditions

In this paper, we investigate the null approximate impulse controllability of the heat equation with an inverse square potential subject to dynamic boundary conditions in the ball $B(0, R_{0})$ of radius $R_{0}=\left (\frac{4}{3}\right )^{\frac{3}{2}}$. To that purpose, we use the Carleman commutator approach to show a logarithmic convexity estimate traducing an observability inequality at one instant of time.

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来源期刊

IMA Journal of Mathematical Control and Information 工程技术-应用数学

CiteScore

3.30

自引率

6.70%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal is to provide an outlet for papers which are original and of high quality in mathematical control theory, systems theory, and applied information sciences. Short papers and mathematical correspondence or technical notes will be welcome, although the primary function of the journal is to publish papers of substantial length and coverage. The emphasis will be upon relevance, originality and clarify of presentation, although timeliness may well be an important feature in acceptable papers. Speculative papers that suggest new avenues for research or potential solutions to unsolved problems of control and information theory will be particularly welcome. Specific application papers will not normally be within the remit of the journal. Applications that illustrate techniques or theories will be acceptable. A prime function of the journal is to encourage the interplay between control and information theory and other mathematical sciences. All submitted papers will be judged on their merits by at least two referees and a full paper report will be available to the intending authors. Submitted articles will in general be published in an issue within six months of submission. Papers should not have previously published, nor should they be undes consideration for publication in another journal. This Journal takes publication ethics very seriously. If misconduct is found or suspected after the manuscript is published, the journal will investigate the matter and this may result in the article subsequently being retracted.