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Controllability of the Heat Equation with a Control Acting on a Measurable Set

Controllability of the Heat Equation with a Control Acting on a Measurable Set
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摘要 The paper deals with the controllability of a heat equation. It is well-known that the heat equation yt - △y = uxE in （0, T） × Ω with homogeneous Dirichlet boundary conditions is null controllable for any T 〉 0 and any open nonempty subset E of Ω. In this note, the author studies the case that E is an arbitrary measurable set with positive measure.
作者 Hang YU
机构地区 School of Mathematical Sciences
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2012年第1期149-160,共12页 数学年刊（B辑英文版）
基金 supported by the National Natural Science Foundation of China (No. 10671040) the Foundation for the Author of National Excellent Doctoral Dissertation of China (No. 200522) the Program for the New Century Excellent Talents in University of China (No. 06-0359)
关键词 Heat equation Measurable sets Null controllability Observabilityinequality 可控性 Dirichlet边界条件 热方程 热传导方程 代理 控制 非空子集 Tgt
分类号 O175.26 [理学—基础数学] TP13 [自动化与计算机技术—控制理论与控制工程]
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参考文献17

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Chinese Annals of Mathematics,Series B
2012年 第1期

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