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

被引：1

作者：

Yu, Hang ^{[1
]}

机构：

[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2012年 / 33卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Heat equation; Measurable sets; Null controllability; Observability inequality; NULL-CONTROLLABILITY; STABILIZATION; TIME;

D O I：

10.1007/s11401-011-0684-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper deals with the controllability of a heat equation. It is well-known that the heat equation y(t) - Delta y = u chi(E) in (0, T) x Omega with homogeneous Dirichlet boundary conditions is null controllable for any T > 0 and any open nonempty subset E of Omega. In this note, the author studies the case that E is an arbitrary measurable set with positive measure.

引用

页码：149 / 160

页数：12

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